What is the periodicity of-1/7 sin(5x+pi/2) ?

The periodicity of-1/7 sin(5x+pi/2) is (2pi)/5

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periodicity of-1/7 sin(5x+pi/2)

periodicity

- \frac{1}{7} sin (5 x + \frac{π}{2})

\frac{2 π}{5}

Decimal

1.25663 \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}{∣ 5 ∣}

Simplify

= \frac{2 π}{5}

What is the periodicity of-1/7 sin(5x+pi/2) ?
The periodicity of-1/7 sin(5x+pi/2) is (2pi)/5