Trigonometry Examples

$\csc (θ) \sin (θ) - \sin^{2} (θ)$

Step 1

Rewrite in terms of sines and cosines, then cancel the common factors.

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Step 1.1

Rewrite $\csc (θ) \sin (θ)$ in terms of sines and cosines.

$\frac{1}{\sin (θ)} \sin (θ) - \sin^{2} (θ)$

Step 1.2

Cancel the common factors.

$1 - \sin^{2} (θ)$

Step 2

Apply pythagorean identity.

$\cos^{2} (θ)$