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

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

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

periodicity

f (x) = - 2 sin (- 3 x + \frac{π}{2})

\frac{2 π}{3}

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}{∣ - 3 ∣}

Simplify

= \frac{2 π}{3}

f (x) = - x^{3} + 3 x^{2} - 4

x - 2 y = - 8

f (x) = x + 1 + 3

f (x) = \frac{2 - x ^{2}}{x + 2}

(- 2, - 4), (- 3, 2)

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