Practice - Pythagorean Identity
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Practice Questions
Test your understanding with targeted questions
Using the Pythagorean identity, find cos(θ) if sin(θ) = 0.8.
💡 Hint: Use the formula cos²(θ) = 1 - sin²(θ).
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.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the Pythagorean identity?
💡 Hint: Remember that all sine and cosine functions combine to equal 1.
If sin(θ) = 0.3, what is cos²(θ)?
💡 Hint: Think about how cosine and sine relate to each other.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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Reference links
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