Practice Complementary Angle Theorem (2.3) - Theorems in Geometry & Trigonometry
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Complementary Angle Theorem

Practice - Complementary Angle Theorem

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the value of cos(90° - 30°)?

💡 Hint: Remember that cos(90° - θ) = sin θ.

Question 2 Easy

If sin θ = 0.6, what is cos(90° - θ)?

💡 Hint: Use the complementary angle theorem.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is sin(90° – θ) equal to?

cos θ
tan θ
cot θ

💡 Hint: Think about how sine and cosine relate with complementary angles.

Question 2

True or False: tan(90° – θ) = cot θ.

True
False

💡 Hint: Recall the definition of tangent and cotangent.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If sin θ = 4/5, calculate cos(90° – θ) and tan(90° – θ).

💡 Hint: Use the relationship to find additional trig values.

Challenge 2 Hard

Prove the identity sin² θ + cos² θ = 1 using the complementary angle theorem.

💡 Hint: Think about how sine and cosine relate to one another when squared.

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