Precalculus Examples

$\frac{7 π}{3}$

Step 1

Evaluate $\cos (\frac{7 π}{3})$ .

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Step 1.1

Subtract full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$\cos (\frac{π}{3})$

Step 1.2

The exact value of $\cos (\frac{π}{3})$ is $\frac{1}{2}$ .

$\frac{1}{2}$

Step 2

Evaluate $\sin (\frac{7 π}{3})$ .

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Step 2.1

Subtract full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$\sin (\frac{π}{3})$

Step 2.2

The exact value of $\sin (\frac{π}{3})$ is $\frac{\sqrt{3}}{2}$ .

$\frac{\sqrt{3}}{2}$

Step 3

Set up the coordinates $(\cos (θ), \sin (θ))$ .

$(\frac{1}{2}, \frac{\sqrt{3}}{2})$