Trigonometry Class 10 | Most Important guide And PYQs

Introduction to Trigonometry Class 10 Notes, Formula & MCQs

Introduction to Trigonometry Class 10

Trigonometry is one of the most important chapters in Class 10 Mathematics. It helps students understand the relationship between the sides and angles of a right triangle. This chapter is not only important for CBSE Board Exams but also for competitive examinations like NTSE, Olympiads, Polytechnic, NDA, SSC, Railways, and Engineering entrance examinations. ( Trigonometry Class 10 )

In this article, you will learn Introduction to Trigonometry Class 10 Notes in both English and Hindi with formulas, solved examples, MCQs, HOTS questions, previous year questions, and expected board questions. PREVIOUS TOPIC: Quadratic Equations

परिचय (Hindi)

त्रिकोणमिति (Trigonometry) गणित की एक महत्वपूर्ण शाखा है जिसमें समकोण त्रिभुज (Right Triangle) की भुजाओं और कोणों के बीच संबंधों का अध्ययन किया जाता है।

कक्षा 10 में यह अध्याय सबसे महत्वपूर्ण अध्यायों में से एक माना जाता है क्योंकि बोर्ड परीक्षा में लगभग हर वर्ष इससे प्रश्न पूछे जाते हैं।

यदि आप इस अध्याय को अच्छी तरह समझ लेते हैं, तो आगे कक्षा 11 और 12 की गणित भी काफी आसान हो जाती है।

What is Trigonometry?
Meaning of Trigonometry
History of Trigonometry
Important Terms
Right Triangle
Parts of Right Triangle
Trigonometric Ratios
Formula Table
Standard Values
Important Identities
Solved Examples
Key Points
MCQs
HOTS Questions
PYQs
Expected Questions
FAQs
Conclusion

Learning Objectives

After studying this chapter, students will be able to

Understand Trigonometry
Identify opposite, adjacent and hypotenuse
Learn six trigonometric ratios
Solve board level questions
Use trigonometric identities
Score full marks in exams

Abbreviations

Abbreviation	Full Form
RHS	Right Hand Side
LHS	Left Hand Side
CBSE	Central Board of Secondary Education
MCQ	Multiple Choice Question
PYQ	Previous Year Question
HOTS	Higher Order Thinking Skills
NCERT	National Council of Educational Research and Training
SSC	Staff Selection Commission

What is Trigonometry?

The word Trigonometry comes from two Greek words.

Tri = Three
Gon = Angles
Metron = Measure

Therefore,

Trigonometry means the measurement of triangles.

त्रिकोणमिति क्या है?

त्रिकोणमिति वह शाखा है जिसमें समकोण त्रिभुज की भुजाओं और कोणों के बीच संबंधों का अध्ययन किया जाता है।

सरल शब्दों में,

समकोण त्रिभुज की सहायता से कोणों और भुजाओं का अध्ययन करना ही त्रिकोणमिति कहलाता है।

History of Trigonometry

Trigonometry has a history of more than 2000 years.

Important contributors include

Hipparchus (Father of Trigonometry)
Aryabhata
Bhaskara
Ptolemy

Indian mathematicians made significant contributions to the development of trigonometry.

Right Triangle

A triangle having one angle equal to 90° is called a Right Triangle.

समकोण त्रिभुज

जिस त्रिभुज का एक कोण 90° होता है उसे समकोण त्रिभुज कहते हैं।

Parts of a Right Triangle

There are three sides.

Hypotenuse

The side opposite the right angle.

सबसे लंबी भुजा।

Opposite Side

The side opposite to the given angle.

दिए गए कोण के सामने वाली भुजा।

Adjacent Side

The side touching the given angle except hypotenuse.

दिए गए कोण के साथ लगी हुई भुजा।

Why Do We Study Trigonometry?

Trigonometry is used in

Engineering
Architecture
Astronomy
Navigation
Physics
Computer Graphics
Surveying
GPS Technology
Robotics
Satellite Communication

Exam Importance

CBSE Board generally asks questions from

Formula based
Identity based
Standard values
Word problems
Case study questions
Competency based questions

Key Points

Trigonometry is based on Right Triangle.
Hypotenuse is always the longest side.
There are six trigonometric ratios.
Angle is represented by θ (Theta).
Formula questions are frequently asked in Board Exams.
Standard values are extremely important.
NCERT examples must be practiced thoroughly.

Quick Revision

Trigonometry = Study of Right Triangle

Three Important Sides

Hypotenuse
Opposite
Adjacent

Most Important Angle

θ (Theta)

Trigonometric Ratios (त्रिकोणमितीय अनुपात)

In a right-angled triangle, the relationship between the sides with respect to an acute angle (θ) is called Trigonometric Ratios.

Hindi

समकोण त्रिभुज में किसी न्यून कोण (θ) के सापेक्ष भुजाओं के अनुपात को त्रिकोणमितीय अनुपात (Trigonometric Ratios) कहते हैं।

Diagram of a Right Triangle

जहाँ,

AB = Hypotenuse (कर्ण)
BC = Opposite Side (लम्ब)
AC = Adjacent Side (आधार)

Six Trigonometric Ratios ( Trigonometry Class 10 )

त्रिकोणमिति में कुल 6 Trigonometric Ratios होते हैं।

Ratio	Formula	Hindi Name
sin θ	Opposite / Hypotenuse	ज्या
cos θ	Adjacent / Hypotenuse	कोज्या
tan θ	Opposite / Adjacent	स्पर्शज्या
cot θ	Adjacent / Opposite	कोटि स्पर्शज्या
sec θ	Hypotenuse / Adjacent	सेकेंट
cosec θ	Hypotenuse / Opposite	कोसेकेंट

1. Sine (sin θ)

Formula

Hindi

sin θ = लम्ब / कर्ण

Example

Opposite = 6

Hypotenuse = 10

Find sinθ.

Solution

sinθ = 6/10

= 3/5

2. Cosine (cos θ)

Formula

Hindi

cos θ = आधार / कर्ण

Example

Adjacent = 8

Hypotenuse = 10

cosθ

=8/10

=4/5

3. Tangent (tan θ)

Formula

Hindi

tan θ = लम्ब / आधार

Example

Opposite =12

Adjacent =5

tanθ

=12/5

4. Cotangent (cot θ)

Formula

Hindi

cot θ = आधार / लम्ब

Example

Adjacent=9

Opposite=3

cotθ

=9/3

5. Secant (sec θ)

Formula

Hindi

sec θ = कर्ण / आधार

Example

Hypotenuse=10

Adjacent=8

secθ

=10/8

=5/4

6. Cosecant (cosec θ)

Formula

Hindi

cosec θ = कर्ण / लम्ब

Example

Hypotenuse=10

Opposite=6

cosecθ

=10/6

=5/3

Formula Sheet ( Trigonometry Class 10 )

Ratio	Formula
sin θ	Opposite / Hypotenuse
cos θ	Adjacent / Hypotenuse
tan θ	Opposite / Adjacent
cot θ	Adjacent / Opposite
sec θ	Hypotenuse / Adjacent
cosec θ	Hypotenuse / Opposite

Reciprocal Formulas ( Trigonometry Class 10 )

Ratio	Reciprocal
sinθ	1/cosecθ
cosθ	1/secθ
tanθ	1/cotθ
cotθ	1/tanθ
secθ	1/cosθ
cosecθ	1/sinθ

Quotient Formula ( Trigonometry Class 10 )

Standard Values Table (Most Important)

Angle	sinθ	cosθ	tanθ	cotθ	secθ	cosecθ
0°	0	1	0	Not Defined	1	Not Defined
30°	1/2	√3/2	1/√3	√3	2/√3	2
45°	1/√2	1/√2	1	1	√2	√2
60°	√3/2	1/2	√3	1/√3	2	2/√3
90°	1	0	Not Defined	0	Not Defined	1

Exam Tip: बोर्ड परीक्षा में यह तालिका अत्यंत महत्वपूर्ण है। इसे याद रखना आवश्यक है।

Easy Trick to Remember Ratios ( Trigonometry Class 10 )

“Some People Have Curly Brown Hair Through Proper Brushing.”

S = Sin = P/H
C = Cos = B/H
T = Tan = P/B

(Hindi)

P = Perpendicular (लम्ब)
B = Base (आधार)
H = Hypotenuse (कर्ण)

Easy Trick for Standard Values ( Trigonometry Class 10 )

Sin Values

1/2

1/√2

√3/2

Cos Values

√3/2

1/√2

1/2

याद रखने की ट्रिक: Cos की values, Sin की values को उल्टा लिखने पर मिल जाती हैं।

Important Identities (Very Important) ( Trigonometry Class 10 )

Identity 1

2nd Identity

Identity 3

Exam Tip: इन तीन identities से हर वर्ष CBSE Board में प्रश्न पूछे जाते हैं।

Solved Example 1 ( Trigonometry Class 10 )

Opposite =5

Hypotenuse =13

Find sinθ.

Solution

sinθ

=5/13

Answer = 5/13

Solved Example 2

Adjacent=12

Hypotenuse=13

Find cosθ.

Solution

cosθ

=12/13

Solved Example 3

Opposite=15

Adjacent=8

Find tanθ.

Solution

tanθ

=15/8

Solved Example 4

sinθ=3/5

Find cosecθ.

Solution

cosecθ

=1/sinθ

=5/3

Solved Example 5

cosθ=4/5

Find secθ.

Solution

secθ

=5/4

Common Mistakes Students Make ( Trigonometry Class 10 )

Opposite और Adjacent में भ्रम करना।
Hypotenuse की पहचान गलत करना।
Standard values याद न होना।
Reciprocal formulas में गलती करना।
Identity में square (²) लगाना भूल जाना।

Quick Revision ( Trigonometry Class 10 )

Six Ratios

sin
cos
tan
cot
sec
cosec

Three Important Identities ( Trigonometry Class 10 )

sin²θ + cos²θ = 1
1 + tan²θ = sec²θ
1 + cot²θ = cosec²θ

Board Exam Most Important ( Trigonometry Class 10 )

Standard Values
Formula Sheet
Identities
Reciprocal Formulas
Solved Numerical Questions

Applications of Trigonometry (त्रिकोणमिति के अनुप्रयोग)

What are the Applications of Trigonometry?

Trigonometry is widely used in science, engineering, architecture, navigation, and many other fields. It helps in finding unknown heights, distances, and angles accurately.

हिंदी में

त्रिकोणमिति का उपयोग ऊँचाई, दूरी तथा कोणों की गणना करने के लिए किया जाता है। यह केवल गणित तक सीमित नहीं है, बल्कि विज्ञान और तकनीक के लगभग हर क्षेत्र में इसका प्रयोग होता है।

Real-Life Applications of Trigonometry

Field	Use of Trigonometry
Engineering	Designing bridges, buildings, and roads
Architecture	Measuring heights and slopes
Astronomy	Calculating the distance of stars and planets
Navigation	Finding the position of ships and aircraft
Surveying	Measuring land and maps
Physics	Wave motion, optics, mechanics
GPS Technology	Determining exact location
Robotics	Robot movement and angle calculation
Computer Graphics	3D animation and game development
Satellite Communication	Signal transmission calculations

दीवार पर लगी सीढ़ी का कोण ज्ञात करना।

Example 4

Construction of bridges.

Example 5

Designing flyovers.

Board Exam Important Concepts

Students must know

Opposite Side
Adjacent Side
Hypotenuse
Standard Values
Three Identities
Formula Sheet
Basic Ratios

Solved Example 1

A right triangle has

Perpendicular = 3 cm

Base = 4 cm

Find

(i) Hypotenuse

(ii) sinθ

(iii) cosθ

(iv) tanθ

Solution

Using Pythagoras Theorem

Hypotenuse²

=3²+4²

=25

Hypotenuse=5 cm

Now

sinθ

=3/5

cosθ

=4/5

tanθ

=3/4

Solved Example 2

Hypotenuse=13

Base=5

Find

Perpendicular

Solution

P²

=13²−5²

=144

P=12 cm

Now

sinθ

=12/13

cosθ

=5/13

tanθ

=12/5

Solved Example 3

sinθ=5/13

Find

cosθ

Solution

Using

sin²θ+cos²θ=1

cos²θ

=1−25/169

=144/169

cosθ

=12/13

Solved Example 4

tanθ=3/4

Find secθ.

Solution

Take

Opposite=3

Adjacent=4

Hypotenuse=5

secθ

=5/4

Solved Example 5

cosθ=8/17

Find

sinθ

Solution

Hypotenuse=17

Adjacent=8

Opposite

=15

Therefore

sinθ

=15/17

Competency-Based Question

A ladder 10 m long touches a wall. The foot of the ladder is 6 m away from the wall.

Find

Height of the wall reached
sinθ
cosθ

Answer

Height

=8 m

sinθ

=8/10

=4/5

cosθ

=6/10

=3/5

Case Study Question

A surveyor wants to measure the height of a tower. He stands at a fixed point and measures the angle of elevation.

Questions

Which branch of Mathematics is used?

Answer

Trigonometry

Which trigonometric ratio is commonly used?

Answer

Tangent Ratio

What type of triangle is formed?

Answer

Right Triangle

Which side represents the tower?

Answer

Opposite Side

Assertion and Reason Questions

Assertion

Trigonometry is used in navigation.

Reason

It helps calculate distances and angles.

Answer

Both are true and Reason correctly explains Assertion.

Assertion

Hypotenuse is always the shortest side.

Reason

It lies opposite the right angle.

Answer

Assertion is False.

Reason is True.

Assertion

sin30°=1/2

Reason

It is a standard trigonometric value.

Answer

Both are True.

Value-Based Question

A student wants to know the height of the National Flag without climbing the pole.

Which mathematical concept should he use?

Answer

Trigonometry

Higher Order Thinking Skills (HOTS)

Can tanθ ever be equal to 2?

Answer

Yes

If Opposite is twice the Adjacent.

Can sinθ be greater than 1?

Answer

Because

sinθ≤1

Can cosθ be negative in Class 10?

Answer

Only acute angles are considered.

Practice Questions

Very Short Answer

Define Trigonometry.
What is Hypotenuse?
How many trigonometric ratios are there?
Define tanθ.
Define cosecθ.

Short Answer

Explain Opposite Side.
Define Adjacent Side.
Explain Hypotenuse.
Write all six ratios.
Write three identities.

Long Answer

Explain Trigonometry with diagram.
Brief all six ratios with examples.
Explain applications of Trigonometry.
Explain standard values.
Derive tanθ.

Common Exam Mistakes

Writing incorrect standard values.
Confusing Opposite and Adjacent.
Forgetting reciprocal formulas.
Incorrect use of identities.
Calculation mistakes in Pythagoras Theorem.

Revision Checklist

Definition of Trigonometry

Right Triangle

Opposite Side

Adjacent Side

Hypotenuse

Six Ratios

Formula Sheet

Three Identities

Standard Values

Applications

Solved Examples

Practice Questions

Exam Tips

Learn all standard values by heart.
Revise identities daily.
Practice NCERT examples first.
Draw neat diagrams in descriptive answers.
Solve previous year questions regularly.

D. √3

✅ Answer: B

Formula Based MCQs

Question 21

Which identity is correct?

A. sin²θ+cos²θ=1

B. sin²θ−cos²θ=1

C. tan²θ−1=sec²θ

D. sinθ+cosθ=1

✅ Answer: A

Question 22

1+tan²θ=

A. cosec²θ

B. sec²θ

C. sin²θ

D. cos²θ

✅ Answer: B

Question 23

1+cot²θ=

A. tan²θ

B. sec²θ

C. cosec²θ

D. sin²θ

✅ Answer: C

Question 24

tanθ=

A. sinθ/cosθ

B. cosθ/sinθ

C. secθ/cosecθ

D. sin²θ

✅ Answer: A

Question 25

cotθ=

Question 31

If Opposite=6 and Hypotenuse=10

sinθ=

A. 3/5

B. 4/5

C. 5/6

D. 2/5

✅ Answer: A

Question 32

Adjacent=8

Hypotenuse=10

cosθ=

A. 4/5

B. 3/5

C. 1/2

D. 5/4

✅ Answer: A

Question 33

Opposite=9

Adjacent=3

tanθ=

A. 2

B. 3

C. 1

D. 4

✅ Answer: B

Question 34

If tanθ=1

Angle=

A.30°

B.45°

C.60°

D.90°

✅ Answer: B

Question 35

If sinθ=1

Angle=

A.30°

B.45°

C.60°

D.90°

✅ Answer: D

Assertion & Reason MCQs

Question 36

Assertion:

Hypotenuse is opposite the right angle.

Reason:

It is the longest side.

A. Both True

B. Both False

C. Assertion True, Reason False

D. Assertion False, Reason True

✅ Answer: A

Question 37

Assertion:

Trigonometry is useful in engineering.

Reason:

It helps measure heights and distances.

✅ Answer: A

Question 38

Assertion:

sin90°=0

Reason:

cos90°=0

✅ Answer: Assertion False, Reason True

Question 39

Assertion:

tan45°=1

Reason:

Opposite equals Adjacent.

✅ Answer: Both True

Question 40

Assertion:

cos0°=0

Reason:

sin0°=0

✅ Answer: Assertion False, Reason True

Case-Based MCQs

Read the Passage

A student stands 20 m away from a tree to calculate its height using trigonometry.

Question 41

Which branch of Mathematics is used?

A. Algebra

B. Geometry

C. Trigonometry

D. Statistics

✅ Answer: C

Question 42

The tree represents

A. Adjacent

B. Opposite

C. Hypotenuse

D. Base

✅ Answer: B

Question 43

Ground represents

A. Base

B. Hypotenuse

C. Opposite

D. Height

✅ Answer: A

Question 44

Which ratio is generally used to calculate height?

A. cos

B. tan

C. sec

D. cosec

✅ Answer: B

Question 45

The line of sight forms

A. Hypotenuse

B. Base

C. Opposite

D. Median

✅ Answer: A

Higher Order MCQs

Question 46

Can sinθ ever exceed 1?

A. Yes

B. No

✅ Answer: B

Question 47

Can cosθ be greater than 1?

A. Yes

B. No

✅ Answer: B

Question 48

Which ratio may become undefined at 90°?

A. tanθ

B. sinθ

C. cosθ

D. cosecθ

✅ Answer: A

Question 49

Which ratio is undefined at 0°?

A. sinθ

B. cotθ

C. cosθ

D. secθ

✅ Answer: B

Question 50

Which trigonometric ratio is equal to 1 at 45°?

A. tanθ

B. cotθ

C. Both A and B

D. None

✅ Answer: C

Question 51–60 (Practice Set)

sec60° = 2
cosec30° = 2
tan30° = 1/√3
cot45° = 1
cos60° = 1/2
sin60° = √3/2
sec0° = 1
cosec90° = 1
cos30° = √3/2
tan60° = √3

📌 MCQ Summary

Questions 1–10: Basic Concepts
FROM 11–20: Standard Values
Questions 21–30: Formula & Identities
Questions 31–35: Numerical Problems
FROM 36–40: Assertion–Reason
Questions 41–45: Case Study
Questions 46–60: Higher Order & Revision

Previous Year Question Pattern (Board-Style Practice)

Question 1

In a right triangle,

Find cos θ.

Solution

Using Pythagoras,

Opposite = 5

Hypotenuse = 13

Adjacent

Therefore,

Question 2

Find

sinθ
cosθ
secθ

Answer

Take

Opposite =3

Adjacent =4

Hypotenuse =5

Therefore

Question 3

Prove

Tip: Identity proof is one of the most frequently tested concepts. Always write each algebraic step clearly.

Question 4

Write all six trigonometric ratios for a right triangle.

Question 5

State the standard values of

sin30°
cos60°
tan45°

Answer

Expected Questions for CBSE Board 2027

Very Important (⭐⭐⭐⭐⭐)

Define Trigonometry.
Explain Opposite, Adjacent and Hypotenuse.
Write all six trigonometric ratios.
Learn the standard values table.
Prove the identity

Find one ratio when another ratio is given.
Solve a right triangle using the Pythagoras Theorem.
Competency-based application question.
Case-study question based on a tower or ladder.
MCQs based on identities.

Short Answer Questions (2 Marks)

What is Trigonometry?

Define Hypotenuse.

Write the formula of tanθ.

Write reciprocal of sinθ.

State three trigonometric identities.

Write standard values of

sin0°
cos90°

Define Adjacent Side.

Define Opposite Side.

Why is Hypotenuse always the longest side?

Q10

Name any four applications of Trigonometry.

Long Answer Questions (5 Marks)

Question 1

Explain all six trigonometric ratios with suitable diagrams and examples.

Question 2

Explain the applications of Trigonometry in daily life.

Question 3

Write and explain all standard values.

Question 4

Explain reciprocal identities with examples.

Question 5

Solve a right triangle using trigonometric ratios.

Competency-Based Questions

Question 1

A student stands at a fixed point to find the height of a building.

Which trigonometric ratio is generally used?
Why?

Answer

The tangent ratio is commonly used because it relates the height (opposite side) to the horizontal distance (adjacent side).

Question 2

A ladder leans against a wall making an angle with the ground.

Which sides of the right triangle are represented by:

Ladder
Ground
Wall

Answer

Ladder → Hypotenuse
Ground → Adjacent/Base
Wall → Opposite/Perpendicular

HOTS Questions

Question 1

Why can’t

be greater than 1?

Answer

Because the opposite side can never be longer than the hypotenuse in a right triangle.

Question 2

Why is

undefined?

Answer

Since

and

division by zero is not defined.

Viva Questions

Who is known as the Father of Trigonometry?
What is Hypotenuse?
Define sinθ. cosθ. & tanθ.
How many identities are in the chapter?
What is θ?
Which theorem is used before applying trigonometric ratios?
Which ratio is reciprocal of cosθ?

Common Mistakes in Board Exam

Forgetting standard values.
Writing wrong reciprocal formulas.
Confusing opposite and adjacent sides.
Skipping units where required.
Using incorrect trigonometric identity.
Not drawing diagrams in descriptive questions.

Last-Minute Revision Notes

Learn by Heart

✅ Six Ratios

sin
cos
tan
cot
sec
cosec

Standard Values

Memorize the values of

0°
30°
45°
60°
90°

Board Preparation Checklist

NCERT Examples ✔
NCERT Exercise ✔
Formula Sheet ✔
Standard Values ✔
MCQs ✔
PYQ Practice ✔
Identity Proofs ✔
Case Study ✔
Competency Questions ✔

Frequently Asked Questions (FAQs)

1. What is Trigonometry?

Trigonometry is the branch of mathematics that studies the relationship between the sides and angles of a right triangle.

हिंदी: त्रिकोणमिति समकोण त्रिभुज की भुजाओं और कोणों के बीच संबंधों का अध्ययन है।

2. How many trigonometric ratios are there?

There are six trigonometric ratios:

sin
cos
tan
cot
sec
cosec

3. Which theorem is used before applying trigonometric ratios?

The Pythagoras Theorem is often used to find the missing side of a right triangle.

4. Which identity is most important?

This is the most frequently used identity in Class 10.

5. Why are standard values important?

Standard values are used to solve numerical problems quickly and are frequently asked in board examinations.

Conclusion (English)

Introduction to Trigonometry is one of the most important chapters in Class 10 Mathematics. A strong understanding of trigonometric ratios, identities, standard values, and their applications will help students perform well not only in CBSE Board examinations but also in future competitive exams. Regular practice of NCERT questions, board-style problems, and concept-based MCQs is the key to mastering this chapter.

निष्कर्ष (Hindi)

Introduction to Trigonometry कक्षा 10 गणित का एक अत्यंत महत्वपूर्ण अध्याय है। यदि विद्यार्थी त्रिकोणमितीय अनुपात, मानक मान (Standard Values), सर्वसमिकाएँ (Identities) और उनके अनुप्रयोगों का नियमित अभ्यास करते हैं, तो वे बोर्ड परीक्षा में उत्कृष्ट अंक प्राप्त कर सकते हैं। सफलता का सबसे अच्छा तरीका है—NCERT का गहन अध्ययन, सूत्रों का नियमित पुनरावर्तन और पर्याप्त प्रश्न अभ्यास।

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Introduction to Trigonometry Class 10 Notes, Formula & MCQs

Introduction to Trigonometry Class 10

परिचय (Hindi)

Table of Contents

Learning Objectives

Abbreviations

What is Trigonometry?

त्रिकोणमिति क्या है?

History of Trigonometry

Right Triangle

समकोण त्रिभुज

Parts of a Right Triangle

Hypotenuse

Opposite Side

Adjacent Side

Why Do We Study Trigonometry?

Exam Importance

Key Points

Quick Revision

Most Important Angle

Trigonometric Ratios (त्रिकोणमितीय अनुपात)

Diagram of a Right Triangle

Six Trigonometric Ratios ( Trigonometry Class 10 )

1. Sine (sin θ)

Formula

Example

2. Cosine (cos θ)

Formula

3. Tangent (tan θ)

Formula

tan θ = लम्ब / आधार

4. Cotangent (cot θ)

Formula

5. Secant (sec θ)

sec θ = कर्ण / आधार

6. Cosecant (cosec θ)

cosec θ = कर्ण / लम्ब

Formula Sheet ( Trigonometry Class 10 )

Reciprocal Formulas ( Trigonometry Class 10 )

Quotient Formula ( Trigonometry Class 10 )

Standard Values Table (Most Important)

Easy Trick to Remember Ratios ( Trigonometry Class 10 )

Easy Trick for Standard Values ( Trigonometry Class 10 )

Cos Values

Important Identities (Very Important) ( Trigonometry Class 10 )

Identity 1

2nd Identity

Identity 3

Solved Example 1 ( Trigonometry Class 10 )

Solved Example 2

Solved Example 3

Solved Example 4

Solved Example 5

Common Mistakes Students Make ( Trigonometry Class 10 )

Quick Revision ( Trigonometry Class 10 )

Six Ratios

Three Important Identities ( Trigonometry Class 10 )

Board Exam Most Important ( Trigonometry Class 10 )

Applications of Trigonometry (त्रिकोणमिति के अनुप्रयोग)

What are the Applications of Trigonometry?

हिंदी में

Real-Life Applications of Trigonometry

Daily Life Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Board Exam Important Concepts

Solved Example 1

Solved Example 2

Solved Example 3

Solved Example 4

Solved Example 5

Competency-Based Question

Case Study Question

Assertion and Reason Questions

Value-Based Question

Higher Order Thinking Skills (HOTS)

Practice Questions