Trigonometry Examples

$0.70710678$

Step 1

Convert the radian measure to degrees.

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Step 1.1

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

$(0.70710678) \cdot \frac{180 °}{π}$

Step 1.2

Multiply $(0.70710678) \frac{180}{π}$ .

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Step 1.2.1

Combine $0.70710678$ and $\frac{180}{π}$ .

$\frac{0.70710678 \cdot 180}{π}$

Step 1.2.2

Multiply $0.70710678$ by $180$ .

$\frac{127.2792204}{π}$

Step 1.3

Replace $π$ with an approximation.

$\frac{127.2792204}{3.14159265}$

Step 1.4

Divide $127.2792204$ by $3.14159265$ .

$40.51423415$

Step 1.5

Convert to a decimal.

$40.51423415 °$

Step 2

The angle is in the first quadrant.

Quadrant $1$

Step 3