Practice - Fundamental Trigonometric Identities
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Practice Questions
Test your understanding with targeted questions
What is sin²θ + cos²θ?
💡 Hint: This is derived from the Pythagorean identity.
If sec(θ) = 2, what is cos(θ)?
💡 Hint: Recall the reciprocal identity involving secant.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the fundamental Pythagorean identity?
💡 Hint: Remember it as the basis of all trigonometric identities.
True or False: Reciprocal identities state that sin(θ) = cosec(θ).
💡 Hint: Define the relationship carefully to clarify.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove that tan²(θ) + 1 = sec²(θ) using the unit circle.
💡 Hint: Refer back to the definitions of sine and cosine in terms of the unit circle.
Using the identity sin²(θ) + cos²(θ) = 1, show that if sin(θ) = 4/5, then cos(θ) must equal 3/5.
💡 Hint: Make sure to square the sine term appropriately.
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