What is the periodicity of f(x)=1+cos(3x+pi/2) ?

The periodicity of f(x)=1+cos(3x+pi/2) is (2pi)/3

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periodicity of f(x)=1+cos(3x+pi/2)

periodicity

f (x) = 1 + cos (3 x + \frac{π}{2})

\frac{2 π}{3}

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}{∣ 3 ∣}

Simplify

= \frac{2 π}{3}

f (x) = 8 x - 9

f (x) = 5 x^{4}

f (x) = 5 x^{2} + 4 y = 20

f (x) = csc (\frac{3 π}{4} x)

What is the periodicity of f(x)=1+cos(3x+pi/2) ?
The periodicity of f(x)=1+cos(3x+pi/2) is (2pi)/3