Trigonometry Examples

$\sin (81) + \sin (21) \div \sin (69) - \sin (171)$

Step 1

Rewrite the division as a fraction.

$\sin (81) + \frac{\sin (21)}{\sin (69)} - \sin (171)$

Step 2

Rewrite $\frac{\sin (21)}{\sin (69)}$ as a product.

$\sin (81) + \sin (21) \frac{1}{\sin (69)} - \sin (171)$

Step 3

Write $\sin (21)$ as a fraction with denominator $1$ .

$\sin (81) + \frac{\sin (21)}{1} \cdot \frac{1}{\sin (69)} - \sin (171)$

Step 4

Simplify.

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Step 4.1

Divide $\sin (21)$ by $1$ .

$\sin (81) + \sin (21) \frac{1}{\sin (69)} - \sin (171)$

Step 4.2

Convert from $\frac{1}{\sin (69)}$ to $\csc (69)$ .

$\sin (81) + \sin (21) \csc (69) - \sin (171)$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sin (81) + \sin (21) \csc (69) - \sin (171)$

Decimal Form:

$1.21511791 \dots$