Proving Trigonometric Identities Practice Problems Online

Which of the following expressions is equal to $\left( \sin{\theta} - \tan{\theta} \right) \left( \cos{\theta} - \cot{\theta} \right) ?$

\left( \tan{\theta} -1 \right) \left( \cot{\theta} +1 \right)

\frac{1}{\cos{\theta} \sin{\theta}} -1

\left( \cos{\theta} -1 \right) \left( \sin{\theta} -1 \right)

\cos{\theta} \sin{\theta}

Which of the following expressions is equal to $\tan{\theta} \sin{\theta} + \cos{\theta} ?$

Which of the following expressions is equal to $\tan^2{\theta} + \cot^2{\theta} ?$

\frac{4}{ \sin^2{2 \theta} } - 2

\frac{1}{ \cos^2{2 \theta} } - 2

\frac{4}{ \sin{\theta} \cos{\theta} } - 2

\frac{1}{ \sin^2{2 \theta} } - 2

Which of the following is equal to $\sin 2x?$

\frac{1-\tan^2 x}{1+\tan^2 x}

\frac{2\tan x}{1+\tan^2x}

\frac{2\tan x}{1-\tan^2x}

\frac{1+\tan^2 x}{1-\tan^2x}

Which of the following expressions is equal to $\tan^2{\theta} - \sin^2{\theta} ?$

Proving Trigonometric Identities