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Derivative of Standard Functions

If cosθ = 1...

Question

If $cos θ = \frac{1}{2}$ then $θ$ is

A

2 n π \pm \frac{π}{6}

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B

n π \pm \frac{π}{2}

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C

2 n π \pm \frac{π}{3}

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D

n π

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Solution

The correct option is C $2 n π \pm \frac{π}{3}$
$cos θ = \frac{1}{2} cos θ = cos \frac{π}{3} ∴ θ = 2 n π \pm \frac{π}{3}$

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