Trigonometry Examples

$\cos (\frac{\sqrt{2}}{2})$

Step 1

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

$(\cos (\frac{\sqrt{2}}{2})) \cdot \frac{180 °}{π}$

Step 2

Evaluate $\cos (\frac{\sqrt{2}}{2})$ .

$0.76024459 \cdot \frac{180}{π}$

Step 3

Multiply $0.76024459 \frac{180}{π}$ .

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Step 3.1

Combine $0.76024459$ and $\frac{180}{π}$ .

$\frac{0.76024459 \cdot 180}{π}$

Step 3.2

Multiply $0.76024459$ by $180$ .

$\frac{136.84402747}{π}$

Step 4

Replace $π$ with an approximation.

$\frac{136.84402747}{3.14159265}$

Step 5

Divide $136.84402747$ by $3.14159265$ .

$43.55880681$

Step 6

Convert to a decimal.

$43.55880681 °$