Review for Trig Test (Simplifying and Solving)

Front

Simplify: \( \cos\theta \tan\theta \)

Back

\( \sin \theta \)

Front

Simplify: \( (\sec\theta - 1)(\sec\theta + 1) \)

Back

\( \tan^2 \theta \)

Front

Simplify the trig expression: \( \tan^2 x \)

Back

\( \tan^2 x \)

Front

Solve for \( 0 \le \theta < 2\pi \): \( 1 = 5 - 8\cos\theta \)

Back

\( \theta = \frac{\pi}{3}, \frac{5\pi}{3} \)

Front

Solve for \( 0 \le \theta < 2\pi \): \( -\sin\theta\csc\theta + 3\csc\theta = \sqrt{2}\sin\theta + 3\csc\theta \)

Back

\( \theta = \frac{5\pi}{4}, \frac{7\pi}{4} \)

Front

Definition of \( an \theta \)

Back

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

Front

Definition of \( an^2 \theta \)

Back

\( \tan^2 \theta = \frac{\sin^2 \theta}{\cos^2 \theta} \)

Front

Pythagorean Identity: \( 1 + \tan^2 \theta = \sec^2 \theta \)

Back

This identity relates tangent and secant functions.

Front

Pythagorean Identity: \( 1 + \cot^2 \theta = \csc^2 \theta \)

Back

This identity relates cotangent and cosecant functions.

Front

Definition of \( an^{-1}(x) \)

Back

The angle whose tangent is x.