Practice Trigonometric Identities (5.3) - Trigonometry - ICSE 10 Maths
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Trigonometric Identities

Practice - Trigonometric Identities

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

State the Pythagorean identity.

💡 Hint: Think about the relationship between sine and cosine.

Question 2 Easy

What is tan45°?

💡 Hint: Consider the triangle formed in a 45°-45°-90° triangle.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the Pythagorean identity?

💡 Hint: Think of a right triangle.

Question 2

Is the identity 1 + tan²θ = sec²θ always true?

True
False

💡 Hint: Think about how secant relates to tangent.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Demonstrate that the identity 1 + cot²θ = csc²θ holds true for θ = 30°.

💡 Hint: Remember the definitions of cotangent and cosecant.

Challenge 2 Hard

If sin²A + cos²A = 1 and tanA = 2, find the values of sinA and cosA.

💡 Hint: Substitute tan in terms of sine and cosine.

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