Practice Reciprocal Identities (3.2) - Trigonometric Identities and Graphs
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Reciprocal Identities

Practice - Reciprocal Identities

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is cosec(θ) if sin(θ) = 3/5?

💡 Hint: Remember to take the reciprocal.

Question 2 Easy

If cos(θ) = 1/4, what is sec(θ)?

💡 Hint: What happens to the denominator?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the cosecant of an angle θ if sin(θ) = 0.5?

1
2
0.5

💡 Hint: Think about what reciprocal means.

Question 2

True or False: tan(θ) = 1/cot(θ).

True
False

💡 Hint: Remember how tangent and cotangent function together.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If sec(θ) = 7/5, find cos(θ) and justify your answer using reciprocal identities.

💡 Hint: Look at how secant relates to cosine.

Challenge 2 Hard

Given tan(θ) = 1/√3, find cot(θ) and provide a step-by-step solution.

💡 Hint: How does flipping a fraction help here?

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Reference links

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