What is the periodicity of f(x)=cos^6(x)+sin^6(x) ?

The periodicity of f(x)=cos^6(x)+sin^6(x) is pi

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periodicity of f(x)=cos^6(x)+sin^6(x)

periodicity

f (x) = cos^{6} (x) + sin^{6} (x)

π

Solution steps

The compound periodicity of the sum of periodic functions is the least common multiplier of the periods

cos^{6} (x), sin^{6} (x)

Periodicity of

cos^{6} (x) : π

Periodicity of

sin^{6} (x) : π

Combine periods:

π, π

= π

f (x) = (2^{5 x}) (3^{4 x^{2}})

f (x) = 2 x - sin (x)

f (x) = \frac{1}{x + 1}

f (t) = 4 t - 10

f (h) = 4 h - 3

What is the periodicity of f(x)=cos^6(x)+sin^6(x) ?
The periodicity of f(x)=cos^6(x)+sin^6(x) is pi