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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Prove the identity sin²θ + cos²θ = 1.
💡 Hint: Think about the definitions of sine and cosine on the unit circle.
Question 2
Easy
Calculate sin(45°) and cos(45°).
💡 Hint: Use the angles of a 45-45-90 triangle.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the identity for 1 + tan²θ?
- sin²θ
- sec²θ
- cos²θ
💡 Hint: Think about how tan relates to sin and cos.
Question 2
Is sin(x) a periodic function?
- True
- False
💡 Hint: Recall the periodic nature of sine functions.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that 1 + cot²θ = csc²θ.
💡 Hint: Recall how cotangent and cosecant relate to sine and cosine.
Question 2
Given the equation sin²x + cos²x = 1, derive the values for sin(x) if cos(x) = 1/2.
💡 Hint: Think about the definition of a triangle in relation to the unit circle.
Challenge and get performance evaluation