What is the periodicity of f(x)=-cos((6x)/7) ?

The periodicity of f(x)=-cos((6x)/7) is (7pi)/3

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periodicity of f(x)=-cos((6x)/7)

periodicity

f (x) = - cos (\frac{6 x}{7})

\frac{7 π}{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{6}{7}}

Simplify

= \frac{7 π}{3}

y = \frac{3 x}{x ^{2} - 36}

\frac{x - 1}{x ^{2} - 1}

y = x^{2} - 4 x + 3

\frac{2 x}{3 x - 1}

What is the periodicity of f(x)=-cos((6x)/7) ?
The periodicity of f(x)=-cos((6x)/7) is (7pi)/3