What is the periodicity of f(x)= 1/2 sin(x-pi/2) ?

The periodicity of f(x)= 1/2 sin(x-pi/2) is 2pi

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periodicity of f(x)= 1/2 sin(x-pi/2)

periodicity

f (x) = \frac{1}{2} sin (x - \frac{π}{2})

2 π

Decimal

6.28318 \dots

Solution steps

Periodicity of

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

Periodicity of

sin (x)

2 π

= \frac{2 π}{∣ 1 ∣}

Simplify

= 2 π

What is the periodicity of f(x)= 1/2 sin(x-pi/2) ?
The periodicity of f(x)= 1/2 sin(x-pi/2) is 2pi