What is the periodicity of f(x)=2cos((2pix)/3+3/5) ?

The periodicity of f(x)=2cos((2pix)/3+3/5) is 3

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periodicity of f(x)=2cos((2pix)/3+3/5)

periodicity

f (x) = 2 cos (\frac{2 π x}{3} + \frac{3}{5})

3

Solution steps

Periodicity of

a \cdot cos (b x + c) + d = \frac{periodicity of cos ( x )}{∣ b ∣}

Periodicity of

cos (x)

2 π

= \frac{2 π}{\frac{2 π}{3}}

Simplify

= 3

in v erse f (x) = 16 - x^{2}

a sy m pt o t es f (x) = \frac{x + 1}{x ^{2} - 3 x - 4}

in v erse f (x) = lo g_{4} (16 x)

d o main (\frac{1}{x})^{2} - 4 (\frac{1}{x})

a sy m pt o t es \frac{4 x - 3}{- 4 x + 2}

What is the periodicity of f(x)=2cos((2pix)/3+3/5) ?
The periodicity of f(x)=2cos((2pix)/3+3/5) is 3