Trigonometry Examples

$c = \frac{\sin (20) \cdot 20}{\sin (39)}$

Step 1

Separate fractions.

$c = \frac{20}{1} \cdot \frac{\sin (20)}{\sin (39)}$

Step 2

Rewrite $\frac{\sin (20)}{\sin (39)}$ as a product.

$c = \frac{20}{1} (\sin (20) \frac{1}{\sin (39)})$

Step 3

Write $\sin (20)$ as a fraction with denominator $1$ .

$c = \frac{20}{1} (\frac{\sin (20)}{1} \cdot \frac{1}{\sin (39)})$

Step 4

Simplify.

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Step 4.1

Divide $\sin (20)$ by $1$ .

$c = \frac{20}{1} (\sin (20) \frac{1}{\sin (39)})$

Step 4.2

Convert from $\frac{1}{\sin (39)}$ to $\csc (39)$ .

$c = \frac{20}{1} (\sin (20) \csc (39))$

Step 5

Divide $20$ by $1$ .

$c = 20 (\sin (20) \csc (39))$

Step 6

Evaluate $\sin (20)$ .

$c = 20 (0.34202014 \csc (39))$

Step 7

Evaluate $\csc (39)$ .

$c = 20 (0.34202014 \cdot 1.58901572)$

Step 8

Multiply $20 (0.34202014 \cdot 1.58901572)$ .

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Step 8.1

Multiply $0.34202014$ by $1.58901572$ .

$c = 20 \cdot 0.54347538$

Step 8.2

Multiply $20$ by $0.54347538$ .

$c = 10.86950774$