Simplify Trigonometric Expressions - Day 2

Front

What is the identity for \( \tan x \)?

Back

\( \tan x = \frac{\sin x}{\cos x} \)

Front

What is the identity for \( \cot x \)?

Back

\( \cot x = \frac{1}{\tan x} = \frac{\cos x}{\sin x} \)

Front

What is the identity for \( \sec x \)?

Back

\( \sec x = \frac{1}{\cos x} \)

Front

What is the identity for \( \csc x \)?

Back

\( \csc x = \frac{1}{\sin x} \)

Front

What is the Pythagorean identity involving \( \sin \) and \( \cos \)?

Back

\( \sin^2 x + \cos^2 x = 1 \)

Front

What is the Pythagorean identity involving \( \tan \) and \( \sec \)?

Back

\( 1 + \tan^2 x = \sec^2 x \)

Front

What is the Pythagorean identity involving \( \cot \) and \( \csc \)?

Back

\( 1 + \cot^2 x = \csc^2 x \)

Front

Simplify the expression: \( \tan x \cot x - \cos^2 x \)

Back

\( \sin^2 x \)

Front

Simplify the expression: \( \tan x \csc x \)

Back

\( \sec x \)

Front

Simplify the expression: \( \cos^2 x (\sec^2 x - 1) \)

Back

\( \sin^2 x \)