Find the Exact Value cos(510 degrees )

$\cos (510 °)$

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

$\cos (150)$

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

$- \cos (30)$

The exact value of $\cos (30)$ is $\frac{\sqrt{3}}{2}$ .

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$- 0.86602540 \dots$

Find the Exact Value cos(510 degrees )

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