Practice Unit circle properties - 2.1 | 6. Trigonometric Identities and Graphs | (IB) Class 10 Mathematics – Group 5, Geometry & Trigonometry
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What are the coordinates for θ = 0° on the unit circle?

💡 Hint: Think about where the first point on the unit circle is.

Question 2

Easy

Is sin(90°) positive or negative?

💡 Hint: Consider the y-coordinate at 90°.

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 cos(π/2)?

  • 0
  • 1
  • −1

💡 Hint: Look at the coordinate at 90 degrees.

Question 2

Is sin(−30°) equal to −sin(30°)?

  • True
  • False

💡 Hint: Think about how sine behaves with negative angles.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove that the sine and cosine functions repeat every 360° by using the unit circle.

💡 Hint: Visualize drawing the circle with additional 360°.

Question 2

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.

Challenge and get performance evaluation