Find the Exact Value sin(-510 degrees )

$\sin (- 510 °)$

Step 1

Add full rotations of $360$ ° until the angle is between $0$ ° and $360$ °.

$\sin (210)$

Step 2

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant.

$- \sin (30)$

Step 3

The exact value of $\sin (30)$ is $\frac{1}{2}$ .

$- \frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$

Find the Exact Value sin(-510 degrees )

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