Find the Exact Value tan(660 degrees )

$\tan (660 °)$

Step 1

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

$\tan (300)$

Step 2

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

$- \tan (60)$

Step 3

The exact value of $\tan (60)$ is $\sqrt{3}$ .

$- \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \sqrt{3}$

Decimal Form:

$- 1.73205080 \dots$

Find the Exact Value tan(660 degrees )

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