What is the periodicity of f(x)=105-20sin((5pi)/4 x) ?

The periodicity of f(x)=105-20sin((5pi)/4 x) is 8/5

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periodicity of f(x)=105-20sin((5pi)/4 x)

periodicity

f (x) = 105 - 20 sin (\frac{5 π}{4} x)

\frac{8}{5}

Decimal

1.6

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{5 π}{4}}

Simplify

= \frac{8}{5}

What is the periodicity of f(x)=105-20sin((5pi)/4 x) ?
The periodicity of f(x)=105-20sin((5pi)/4 x) is 8/5