What is the periodicity of f(x)=-5sin(3/2 x) ?

The periodicity of f(x)=-5sin(3/2 x) is (4pi)/3

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periodicity of f(x)=-5sin(3/2 x)

periodicity

f (x) = - 5 sin (\frac{3}{2} x)

\frac{4 π}{3}

Decimal

4.18879 \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}{\frac{3}{2}}

Simplify

= \frac{4 π}{3}

What is the periodicity of f(x)=-5sin(3/2 x) ?
The periodicity of f(x)=-5sin(3/2 x) is (4pi)/3