91Ó°ÊÓ

Use the fundamental identities to fully simplify the expression. $$-\tan (-x) \cot (-x)$$

Use the fundamental identities to fully simplify the expression. $$\frac{-\sin (-x) \cos x \sec x \csc x \tan x}{\cot x}$$

Use the fundamental identities to fully simplify the expression. $$\frac{1+\tan ^{2} \theta}{\csc ^{2} \theta}+\sin ^{2} \theta+\frac{1}{\sec ^{2} \theta}$$

Use the fundamental identities to fully simplify the expression. $$\left(\frac{\tan x}{\csc ^{2} x}+\frac{\tan x}{\sec ^{2} x}\right)\left(\frac{1+\tan x}{1+\cot x}\right)-\frac{1}{\cos ^{2} x}$$

Use the fundamental identities to fully simplify the expression. $$\frac{1-\cos ^{2} x}{\tan ^{2} x}+2 \sin ^{2} x$$

Simplify the first trigonometric expression by writing the simplified form in terms of the second expression. $$\frac{\tan x+\cot x}{\csc x} ; \cos x$$

Simplify the first trigonometric expression by writing the simplified form in terms of the second expression. $$\frac{\sec x+\csc x}{1+\tan x} ; \sin x$$

Simplify the first trigonometric expression by writing the simplified form in terms of the second expression. $$\frac{1}{\sin x \cos x}-\cot x ; \cot x$$

Simplify the first trigonometric expression by writing the simplified form in terms of the second expression. $$\frac{1}{1-\cos x}-\frac{\cos x}{1+\cos x} ; \csc x$$

Simplify the first trigonometric expression by writing the simplified form in terms of the second expression. $$(\sec x+\csc x)(\sin x+\cos x)-2-\cot x ; \tan x$$