Trigonometry Examples

$\frac{1}{\sin (10)} - \frac{\sqrt{3}}{\cos (10)}$

Step 1

Convert from $\frac{1}{\sin (10)}$ to $\csc (10)$ .

$\csc (10) - \frac{\sqrt{3}}{\cos (10)}$

Step 2

Separate fractions.

$\csc (10) - (\frac{\sqrt{3}}{1} \cdot \frac{1}{\cos (10)})$

Step 3

Convert from $\frac{1}{\cos (10)}$ to $\sec (10)$ .

$\csc (10) - (\frac{\sqrt{3}}{1} \sec (10))$

Step 4

Divide $\sqrt{3}$ by $1$ .

$\csc (10) - \sqrt{3} \sec (10)$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\csc (10) - \sqrt{3} \sec (10)$

Decimal Form:

$4.000000000000 \dots$