Trigonometry Examples

$\frac{5}{\sin (x)} + \frac{4}{\cos (y)}$

Step 1

Separate fractions.

$\frac{5}{1} \cdot \frac{1}{\sin (x)} + \frac{4}{\cos (y)}$

Step 2

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

$\frac{5}{1} \csc (x) + \frac{4}{\cos (y)}$

Step 3

Divide $5$ by $1$ .

$5 \csc (x) + \frac{4}{\cos (y)}$

Step 4

Separate fractions.

$5 \csc (x) + \frac{4}{1} \cdot \frac{1}{\cos (y)}$

Step 5

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

$5 \csc (x) + \frac{4}{1} \sec (y)$

Step 6

Divide $4$ by $1$ .

$5 \csc (x) + 4 \sec (y)$