Trigonometry Examples

$\frac{59.3 (\sin (67))}{\sin (71)}$

Step 1

Separate fractions.

$\frac{59.3}{1} \cdot \frac{\sin (67)}{\sin (71)}$

Step 2

Rewrite $\frac{\sin (67)}{\sin (71)}$ as a product.

$\frac{59.3}{1} (\sin (67) \frac{1}{\sin (71)})$

Step 3

Write $\sin (67)$ as a fraction with denominator $1$ .

$\frac{59.3}{1} (\frac{\sin (67)}{1} \cdot \frac{1}{\sin (71)})$

Step 4

Simplify.

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Step 4.1

Divide $\sin (67)$ by $1$ .

$\frac{59.3}{1} (\sin (67) \frac{1}{\sin (71)})$

Step 4.2

Convert from $\frac{1}{\sin (71)}$ to $\csc (71)$ .

$\frac{59.3}{1} (\sin (67) \csc (71))$

Step 5

Divide $59.3$ by $1$ .

$59.3 (\sin (67) \csc (71))$

Step 6

Evaluate $\sin (67)$ .

$59.3 (0.92050485 \csc (71))$

Step 7

Evaluate $\csc (71)$ .

$59.3 (0.92050485 \cdot 1.05762068)$

Step 8

Multiply $59.3 (0.92050485 \cdot 1.05762068)$ .

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Step 8.1

Multiply $0.92050485$ by $1.05762068$ .

$59.3 \cdot 0.97354497$

Step 8.2

Multiply $59.3$ by $0.97354497$ .

$57.73121672$