Trigonometry Examples

$\frac{95 \sin (108)}{\sin (45)}$

Step 1

Separate fractions.

$\frac{95}{1} \cdot \frac{\sin (108)}{\sin (45)}$

Step 2

Rewrite $\frac{\sin (108)}{\sin (45)}$ as a product.

$\frac{95}{1} (\sin (108) \frac{1}{\sin (45)})$

Step 3

Write $\sin (108)$ as a fraction with denominator $1$ .

$\frac{95}{1} (\frac{\sin (108)}{1} \cdot \frac{1}{\sin (45)})$

Step 4

Simplify.

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Step 4.1

Divide $\sin (108)$ by $1$ .

$\frac{95}{1} (\sin (108) \frac{1}{\sin (45)})$

Step 4.2

Convert from $\frac{1}{\sin (45)}$ to $\csc (45)$ .

$\frac{95}{1} (\sin (108) \csc (45))$

Step 5

Divide $95$ by $1$ .

$95 (\sin (108) \csc (45))$

Step 6

The exact value of $\csc (45)$ is $\sqrt{2}$ .

$95 \sin (108) \sqrt{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$95 \sin (108) \sqrt{2}$

Decimal Form:

$127.77471727 \dots$