Precalculus Examples

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

Step 1

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

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

Step 2

Multiply the numerator by the reciprocal of the denominator.

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

Step 3

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

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Step 3.1

Factor $\sin (x)$ out of $1 \sin (x)$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$1$