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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Prove that sin²(θ) + cos²(θ) = 1.
💡 Hint: Recall the definitions of sine and cosine.
Question 2
Easy
If cos²(θ) = 0.36, what is sin²(θ)?
💡 Hint: Use the Pythagorean identity.
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 first Pythagorean identity?
- sin²θ + cos²θ = 1
- 1 + tan²θ = sec²θ
- 1 + cot²θ = cosec²θ
💡 Hint: Think about sine and cosine.
Question 2
True or False: 1 + tan²θ = sec²θ relates tangent to sine.
- True
- False
💡 Hint: Consider what each term represents.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
If sin(θ) = 0.6, derive cos(θ) and verify using the Pythagorean identity.
💡 Hint: Remember sine and cosine can have positive and negative values, depending on the quadrant.
Question 2
Prove that 1 + tan²(θ) = sec²(θ) by using the first Pythagorean identity.
💡 Hint: Think about the definitions of tangent and secant.
Challenge and get performance evaluation