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

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

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

periodicity

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}

in v erse - \frac{5}{x}

s l o p e x - 3 y = - 6

d o main x^{3}

in f l ec t i o n f (x) = 19 x^{4} + 76 x^{3}

s hi f t 5 sin (4 x)

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