Practice - Worked Examples
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Prove: 1 + tan²θ = sec²θ at θ = 45°.
💡 Hint: Remember tan(45°) equals 1.
Calculate sin(60°)² and cos(60°)². What do you get?
💡 Hint: Square each sine and cosine value.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the value of sin(30°)?
💡 Hint: Think back to the unit circle values.
Is sin²θ + cos²θ always equal to 1?
💡 Hint: Recall the identity for any angle θ.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Prove 1 + cot²θ = csc²θ by using specific angle values.
💡 Hint: Use known angle values to verify the equation.
Sketch the transformation of y = sin(x + 90°) and explain the phase shift.
💡 Hint: Focus on phase adjustments in the graph.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.