Precalculus 5.1-5.3 Quiz

Write the following trigonometric expression in terms of sine and cosine, and then simplify: sin x cot x

Write the following trigonometric expression in terms of sine and cosine, and then simplify: sin ² x (1 + cot ² x)

Simplify the following trigonometric expression:
 $\frac{\sec^2x\ -1}{\sec^2x}$  

Simplify the following trigonometric expression as much as possible:

sin B + cos B cot B

Simplify the following trigonometric expression:  $\frac{\sin x\ \csc\ x}{\cot x}$  

When verifying the identity:  $\left(1-\sin x\right)\left(1+\sin x\right)=\cos^2x$  
The first step would be to

When verifying the identity  $\left(\tan^2x+1\right)\left(\cos^2x-1\right)=-\tan^2x$  
The first step would be:
 $\left(\sec^2x\right)\left(-\sin^2x\right)$  
The reason for this step is

 $\sec\ x\ -\ 2=0$  Which of the following is a solution to the given equation?

Solve the following equation, for all real numbers. 
 $\sin^2x+\sin x\ =0$  

 Solve the multiple-angle equation.
 $\cos\ \frac{x}{2}=-\frac{\sqrt{3}}{2}$