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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Using the Pythagorean identity, find cos(θ) if sin(θ) = 0.8.
💡 Hint: Use the formula cos²(θ) = 1 - sin²(θ).
Question 2
Easy
If sin(45°) is √2/2, what is cos(45°) using the Pythagorean identity?
💡 Hint: Remember that sin and cos are equal at 45 degrees.
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 Pythagorean identity?
- sin²θ + cos²θ = 2
- sin²θ + cos²θ = 1
- sin²θ + cos²θ = 0
💡 Hint: Remember that all sine and cosine functions combine to equal 1.
Question 2
If sin(θ) = 0.3, what is cos²(θ)?
- True
- False
💡 Hint: Think about how cosine and sine relate to each other.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given sin(θ) = 0.5 find all angles θ possible in degrees using the Pythagorean identity.
💡 Hint: Consider the sine curve and where it reaches 0.5.
Question 2
If you know sin(30°) = 0.5, show step-by-step how to find cos(30°) and verify the identity.
💡 Hint: Work through the calculations to prove it's correct.
Challenge and get performance evaluation