Precalculus Examples

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

Step 1

Separate fractions.

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

Step 2

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

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

Step 3

Multiply by the reciprocal of the fraction to divide by $\frac{1}{\sin (x)}$ .

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

Step 4

Multiply $\sin (x)$ by $1$ .

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

Step 5

Divide $2$ by $1$ .

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