Trigonometry Examples

$90 - 142$

Step 1

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

$90 - 142 ° \cdot \frac{π}{180 °}$ radians

Step 2

Simplify each term.

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Step 2.1

Cancel the common factor of $2$ .

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Step 2.1.1

Factor $2$ out of $- 142$ .

$90 + 2 (- 71) \cdot \frac{π}{180}$ radians

Step 2.1.2

Factor $2$ out of $180$ .

$90 + 2 \cdot - 71 \cdot \frac{π}{2 \cdot 90}$ radians

Step 2.1.3

Cancel the common factor.

$90 + 2 \cdot - 71 \cdot \frac{π}{2 \cdot 90}$ radians

Step 2.1.4

Rewrite the expression.

$90 - 71 \cdot \frac{π}{90}$ radians

Step 2.2

Combine $- 71$ and $\frac{π}{90}$ .

$90 + \frac{- 71 π}{90}$ radians

Step 2.3

Move the negative in front of the fraction.

$90 - \frac{71 π}{90}$ radians