Applying and analysing trigonometric functions

Simplify this to a basic trigonometry function:
tan(x)csc(x) 

• tanx
• secx
• cotx
• cscx

Select the MOST SIMPLIFIED answer for:

 $\sec x\cos x$  

•  $\left(\frac{1}{\cos x}\right)\cos x$  

•  $\frac{\cos x}{\cos x}$  

• 1

•  $\cot x$  

*

• tan² x
• cos² x
• cot² x
• csc² x

Simplify:  $\frac{1}{1-\tan x}-\frac{1}{1+\tan x}$ 

•  $\tan2x$  

•  $\tan^2x$  

•  $-\tan x$  

•  $\tan x+\tan^22x$  

• sinθ
• cos²θ
• sin²θ
• 1- sin²θ

Simplify:   $\frac{\sin^2x+\cos^2x+\cot^2x}{1+\tan^2x}$  

•  $\cot^2x$  

•  $\tan^2x$  

•  $\csc^2x$  

•  $\sec^2x$  

sin²(x)(csc²(x) - 1)

• A. -cos²(x)

• B. -2

• C. -sin(x)

• D. cos²(x)