Simplify (1+cot(x)^2)/(csc(x))

$\frac{1 + \cot^{2} (x)}{\csc (x)}$

Step 1

Apply pythagorean identity.

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

Step 2

Cancel the common factor of $\csc^{2} (x)$ and $\csc (x)$ .

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

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

Cancel the common factors.

Multiply by $1$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $\csc (x)$ by $1$ .

$\csc (x)$