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

The periodicity of f(x)=sin(x-pi/2)+3 is 2pi

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periodicity of f(x)=sin(x-pi/2)+3

periodicity

f (x) = sin (x - \frac{π}{2}) + 3

2 π

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

arctan (\frac{x - 1}{x + 1})

f (x) = \frac{x - 1}{x - 5}

(x^{2} + 3)^{2} + 3

y = - \frac{5}{2} x - 8

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