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

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

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

periodicity

f (x) = 5 sin (- 2 x + \frac{π}{3})

π

Decimal

3.14159 \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}{∣ - 2 ∣}

Simplify

= π

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