Practice Trigonometric Identities - 8.4 | 8. INTRODUCTION TO TRIGONOMETRY | CBSE 10 Mathematics
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Trigonometric Identities

8.4 - Trigonometric Identities

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

State the Pythagorean identity.

💡 Hint: Think about the relationship of sides in a right triangle.

Question 2 Easy

What can you derive if tan A = 4?

💡 Hint: Use the identity relating all three ratios.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the Pythagorean identity?

tan² A + cot² A = 1
cos² A + sin² A = 1
sin² A + sec² A = 1

💡 Hint: Think about the right triangle sides.

Question 2

Is the statement true: 1 + cot² A = csc² A?

True
False

💡 Hint: This relationship is derived from identities.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If tan A = 4/3, find all the trigonometric ratios using the identities.

💡 Hint: Start by determining the triangle dimensions.

Challenge 2 Hard

Prove the identity: 1 + tan² A = sec² A by using geometrical representation.

💡 Hint: Work through the triangle's sides.

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