Trigonometry Examples

sin (45)

$\sin (45)$

Step 1

To convert degrees to radians, multiply by

\frac{π}{180 °}

$\frac{π}{180 °}$ , since a full circle is

360 °

$360 °$ or

2 π

$2 π$ radians.

Step 2

The exact value of

sin (45)

$\sin (45)$ is

\frac{\sqrt{2}}{2}

$\frac{\sqrt{2}}{2}$ .

\frac{\sqrt{2}}{2} \cdot \frac{π}{180}

$\frac{\sqrt{2}}{2} \cdot \frac{π}{180}$ radians

Step 3

Multiply

\frac{\sqrt{2}}{2} \cdot \frac{π}{180}

$\frac{\sqrt{2}}{2} \cdot \frac{π}{180}$ .

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Step 3.1

Multiply

\frac{\sqrt{2}}{2}

$\frac{\sqrt{2}}{2}$ by

\frac{π}{180}

$\frac{π}{180}$ .

\frac{\sqrt{2} π}{2 \cdot 180}

$\frac{\sqrt{2} π}{2 \cdot 180}$ radians

Step 3.2

Multiply

2

$2$ by

180

$180$ .

\frac{\sqrt{2} π}{360}

$\frac{\sqrt{2} π}{360}$ radians

\frac{\sqrt{2} π}{360}

$\frac{\sqrt{2} π}{360}$ radians

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$