Simplify ((sin(theta))/(cos(theta))+(cos(theta))/(sin(theta)))

$(\frac{\sin (θ)}{\cos (θ)} + \frac{\cos (θ)}{\sin (θ)})$

Step 1

Remove parentheses.

$\frac{\sin (θ)}{\cos (θ)} + \frac{\cos (θ)}{\sin (θ)}$

Step 2

Simplify each term.

Convert from $\frac{\sin (θ)}{\cos (θ)}$ to $\tan (θ)$ .

$\tan (θ) + \frac{\cos (θ)}{\sin (θ)}$

Convert from $\frac{\cos (θ)}{\sin (θ)}$ to $\cot (θ)$ .

$\tan (θ) + \cot (θ)$