Find the Exact Value cos((11pi)/6)

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Trigonometry

$\cos (\frac{11 π}{6})$

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$\cos (\frac{π}{6})$

The exact value of $\cos (\frac{π}{6})$ 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:

$0.86602540 \dots$

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