Trigonometry Examples

$(1 - \cos^{2} (x)) (\csc (x))$

Step 1

Apply pythagorean identity.

$\sin^{2} (x) \csc (x)$

Step 2

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

$\sin^{2} (x) \frac{1}{\sin (x)}$

Step 3

Cancel the common factor of $\sin (x)$ .

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Step 3.1

Factor $\sin (x)$ out of $\sin^{2} (x)$ .

$\sin (x) \sin (x) \frac{1}{\sin (x)}$

Step 3.2

Cancel the common factor.

$\sin (x) \sin (x) \frac{1}{\sin (x)}$

Step 3.3

Rewrite the expression.

$\sin (x)$

$\sin (x)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$