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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Prove: 1 + tan²θ = sec²θ at θ = 45°.
💡 Hint: Remember tan(45°) equals 1.
Question 2
Easy
Calculate sin(60°)² and cos(60°)². What do you get?
💡 Hint: Square each sine and cosine value.
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 the value of sin(30°)?
- 1/2
- √3/2
- 1
💡 Hint: Think back to the unit circle values.
Question 2
Is sin²θ + cos²θ always equal to 1?
- True
- False
💡 Hint: Recall the identity for any angle θ.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove 1 + cot²θ = csc²θ by using specific angle values.
💡 Hint: Use known angle values to verify the equation.
Question 2
Sketch the transformation of y = sin(x + 90°) and explain the phase shift.
💡 Hint: Focus on phase adjustments in the graph.
Challenge and get performance evaluation