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Trigonometry Examples

\frac{9 π}{4}

$\frac{9 π}{4}$

Step 1

Take the sine of

\frac{9 π}{4}

$\frac{9 π}{4}$ .

\sin (\frac{9 π}{4})

$\sin (\frac{9 π}{4})$

Step 2

Subtract full rotations of

2 π

$2 π$ until the angle is greater than or equal to

0

$0$ and less than

2 π

$2 π$ .

\sin (\frac{π}{4})

$\sin (\frac{π}{4})$

Step 3

The exact value of

\sin (\frac{π}{4})

$\sin (\frac{π}{4})$ is

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

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

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

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

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

Decimal Form:

0.70710678 \dots

$0.70710678 \dots$

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

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