Question 1
How does multiplying by a conjugate simplify trigonometric identities?
Question 2
What identity proves that \( \tan^2\theta + 1 = \sec^2\theta \)?
Question 3
What method would you use to solve expressions with complex fractions?
Question 4
Which technique is useful for proving expressions using \( \sin^2\theta = 1 - \cos^2\theta \)?
Question 5
What expression results from \( \tan\theta \cdot \cot\theta \)?
Question 6
What is the result of applying \( \cot\left(\frac{\pi}{2} - \theta\right) \)?
Question 7
Which identity is used to simplify \( \tan(\frac{\pi}{2} - \theta) \)?
Question 8
How do you simplify \( \cot^2\theta + 1 \) using trigonometric identities?
Question 9
In the identity \( 1 - \cos^2\theta = \sin^2\theta \), which identity is being used?
Question 10
When simplifying \( \frac{1}{\csc^2\theta} \), what expression is equivalent?
Question 11
What identity can be used to simplify the expression \( \csc^2\theta - 1 \)?
Question 12
When you have \( \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)} \), what are you applying?
Question 13
What is the equivalent of \( \sec(\theta) - \cos(\theta) \)?
Question 14
How is \( -\tan(\theta) \) related to \( \tan(-\theta) \)?
Question 15
How do you express \( \tan^2\theta = 1 - \cos^2\theta \)?