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

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

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

periodicity

f (x) = - 3 sin (2 x + \frac{π}{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}{∣ 2 ∣}

Simplify

= π

f (x) = - (x + 1)^{2} + 3

y = \frac{7}{4} x - 6

g (x) = \frac{15 x ^{2}}{3 x ^{2} + 1}

f (x) = x^{3} - 12 x + 5

(- x^{2} + 16) (x + 2)

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