Trigonometry Examples

$c = \frac{27 \sin (35)}{\sin (40)}$

Step 1

Separate fractions.

$c = \frac{27}{1} \cdot \frac{\sin (35)}{\sin (40)}$

Step 2

Rewrite $\frac{\sin (35)}{\sin (40)}$ as a product.

$c = \frac{27}{1} (\sin (35) \frac{1}{\sin (40)})$

Step 3

Write $\sin (35)$ as a fraction with denominator $1$ .

$c = \frac{27}{1} (\frac{\sin (35)}{1} \cdot \frac{1}{\sin (40)})$

Step 4

Simplify.

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Step 4.1

Divide $\sin (35)$ by $1$ .

$c = \frac{27}{1} (\sin (35) \frac{1}{\sin (40)})$

Step 4.2

Convert from $\frac{1}{\sin (40)}$ to $\csc (40)$ .

$c = \frac{27}{1} (\sin (35) \csc (40))$

Step 5

Divide $27$ by $1$ .

$c = 27 (\sin (35) \csc (40))$

Step 6

Evaluate $\sin (35)$ .

$c = 27 (0.57357643 \csc (40))$

Step 7

Evaluate $\csc (40)$ .

$c = 27 (0.57357643 \cdot 1.55572382)$

Step 8

Multiply $27 (0.57357643 \cdot 1.55572382)$ .

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Step 8.1

Multiply $0.57357643$ by $1.55572382$ .

$c = 27 \cdot 0.89232652$

Step 8.2

Multiply $27$ by $0.89232652$ .

$c = 24.09281627$