Trigonometry Examples

$\arcsin (\frac{2.5}{5})$

Step 1

To convert radians to degrees, multiply by $\frac{180}{π}$ , since a full circle is $360 °$ or $2 π$ radians.

$(\arcsin (\frac{2.5}{5})) \cdot \frac{180 °}{π}$

Step 2

Divide $2.5$ by $5$ .

$\arcsin (0.5) \cdot \frac{180}{π}$

Step 3

Evaluate $\arcsin (0.5)$ .

$\frac{π}{6} \cdot \frac{180}{π}$

Step 4

Cancel the common factor of $π$ .

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Step 4.1

Cancel the common factor.

$\frac{π}{6} \cdot \frac{180}{π}$

Step 4.2

Rewrite the expression.

$\frac{1}{6} \cdot 180$

Step 5

Cancel the common factor of $6$ .

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Step 5.1

Factor $6$ out of $180$ .

$\frac{1}{6} \cdot (6 (30))$

Step 5.2

Cancel the common factor.

$\frac{1}{6} \cdot (6 \cdot 30)$

Step 5.3

Rewrite the expression.

$30$

Step 6

Convert to a decimal.

$30 °$