What is the periodicity of f(x)=2cos(6x+pi/2) ?

The periodicity of f(x)=2cos(6x+pi/2) is pi/3

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periodicity of f(x)=2cos(6x+pi/2)

periodicity

f (x) = 2 cos (6 x + \frac{π}{2})

\frac{π}{3}

Decimal

1.04719 \dots

Solution steps

Periodicity of

a \cdot cos (b x + c) + d = \frac{periodicity of cos ( x )}{∣ b ∣}

Periodicity of

cos (x)

2 π

= \frac{2 π}{∣ 6 ∣}

Simplify

= \frac{π}{3}

What is the periodicity of f(x)=2cos(6x+pi/2) ?
The periodicity of f(x)=2cos(6x+pi/2) is pi/3