Algebra Examples

$\sin^{2} (θ) + \sin (θ) \csc (θ) \cos^{2} (θ)$

Step 1

Simplify each term.

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Step 1.1

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

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Step 1.1.1

Reorder $\sin (θ)$ and $\csc (θ)$ .

$\sin^{2} (θ) + \csc (θ) \sin (θ) \cos^{2} (θ)$

Step 1.1.2

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

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

Step 1.1.3

Cancel the common factors.

$\sin^{2} (θ) + 1 \cos^{2} (θ)$

Step 1.2

Multiply $\cos^{2} (θ)$ by $1$ .

$\sin^{2} (θ) + \cos^{2} (θ)$

Step 2

Apply pythagorean identity.

$1$