Practice - Pythagorean Identities
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Practice Questions
Test your understanding with targeted questions
Prove that sin²(θ) + cos²(θ) = 1.
💡 Hint: Recall the definitions of sine and cosine.
If cos²(θ) = 0.36, what is sin²(θ)?
💡 Hint: Use the Pythagorean identity.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the first Pythagorean identity?
💡 Hint: Think about sine and cosine.
True or False: 1 + tan²θ = sec²θ relates tangent to sine.
💡 Hint: Consider what each term represents.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
Prove that 1 + tan²(θ) = sec²(θ) by using the first Pythagorean identity.
💡 Hint: Think about the definitions of tangent and secant.
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