Trigonometry Examples

$\sin (66.4) = \frac{a}{500}$

Step 1

Rewrite the equation as $\frac{a}{500} = \sin (66.4)$ .

$\frac{a}{500} = \sin (66.4)$

Step 2

Multiply both sides of the equation by $500$ .

$500 \frac{a}{500} = 500 \sin (66.4)$

Step 3

Simplify the left side.

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Step 3.1

Cancel the common factor of $500$ .

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Step 3.1.1

Cancel the common factor.

$500 \frac{a}{500} = 500 \sin (66.4)$

Step 3.1.2

Rewrite the expression.

$a = 500 \sin (66.4)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$a = 500 \sin (66.4)$

Decimal Form:

$a = 458.18136478 \dots$