Practice - Unit circle properties
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Practice Questions
Test your understanding with targeted questions
What are the coordinates for θ = 0° on the unit circle?
💡 Hint: Think about where the first point on the unit circle is.
Is sin(90°) positive or negative?
💡 Hint: Consider the y-coordinate at 90°.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is cos(π/2)?
💡 Hint: Look at the coordinate at 90 degrees.
Is sin(−30°) equal to −sin(30°)?
💡 Hint: Think about how sine behaves with negative angles.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove that the sine and cosine functions repeat every 360° by using the unit circle.
💡 Hint: Visualize drawing the circle with additional 360°.
If θ is in the second quadrant and sin(θ) = 3/5, find cos(θ) and explain its sign.
💡 Hint: Recall the identity sin²θ + cos²θ = 1.
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