Trigonometry Examples

$2 \sin (x) + \frac{3}{\csc (x)}$

Step 1

Simplify each term.

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Step 1.1

Separate fractions.

$2 \sin (x) + \frac{3}{1} \cdot \frac{1}{\csc (x)}$

Step 1.2

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

$2 \sin (x) + \frac{3}{1} \cdot \frac{1}{\frac{1}{\sin (x)}}$

Step 1.3

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

$2 \sin (x) + \frac{3}{1} (1 \sin (x))$

Step 1.4

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

$2 \sin (x) + \frac{3}{1} \sin (x)$

Step 1.5

Divide $3$ by $1$ .

$2 \sin (x) + 3 \sin (x)$

Step 2

Add $2 \sin (x)$ and $3 \sin (x)$ .

$5 \sin (x)$