Simplify 1/(sin(x)cos(x))

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

Step 1

Separate fractions.

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

Step 2

Convert from $\frac{1}{\sin (x)}$ to $\csc (x)$ .

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

Step 3

Convert from $\frac{1}{\cos (x)}$ to $\sec (x)$ .

$\sec (x) \csc (x)$

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