Trigonometry Examples

$a = \frac{20 (\sin (38))}{\sin (79)}$

Step 1

Multiply $20$ by $\sin (38)$ .

$a = \frac{20 \sin (38)}{\sin (79)}$

Step 2

Simplify $\frac{20 \sin (38)}{\sin (79)}$ .

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Step 2.1

Separate fractions.

$a = \frac{20}{1} \cdot \frac{\sin (38)}{\sin (79)}$

Step 2.2

Rewrite $\frac{\sin (38)}{\sin (79)}$ as a product.

$a = \frac{20}{1} (\sin (38) \frac{1}{\sin (79)})$

Step 2.3

Write $\sin (38)$ as a fraction with denominator $1$ .

$a = \frac{20}{1} (\frac{\sin (38)}{1} \cdot \frac{1}{\sin (79)})$

Step 2.4

Simplify.

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Step 2.4.1

Divide $\sin (38)$ by $1$ .

$a = \frac{20}{1} (\sin (38) \frac{1}{\sin (79)})$

Step 2.4.2

Convert from $\frac{1}{\sin (79)}$ to $\csc (79)$ .

$a = \frac{20}{1} (\sin (38) \csc (79))$

Step 2.5

Divide $20$ by $1$ .

$a = 20 (\sin (38) \csc (79))$

Step 2.6

Evaluate $\sin (38)$ .

$a = 20 (0.61566147 \csc (79))$

Step 2.7

Evaluate $\csc (79)$ .

$a = 20 (0.61566147 \cdot 1.01871669)$

Step 2.8

Multiply $20 (0.61566147 \cdot 1.01871669)$ .

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Step 2.8.1

Multiply $0.61566147$ by $1.01871669$ .

$a = 20 \cdot 0.62718462$

Step 2.8.2

Multiply $20$ by $0.62718462$ .

$a = 12.54369246$