What is the FUNCTION_MANY#periodicity of f(x)=4cos^4(x)-cos^2(x)+1+sin^{22}(x) ?

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FUNCTION_MANY#periodicity of f(x)=4cos^4(x)-cos^2(x)+1+sin^{22}(x)

periodicity

f (x) = 4 cos^{4} (x) - cos^{2} (x) + 1 + sin^{22} (x)

π

Decimal

3.14159 \dots

Solution steps

Periodicity of

f (x) + c =

Periodicity of

f (x)

c = 1

= periodicity of 4 cos^{4} (x) - cos^{2} (x) + sin^{22} (x)

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

4 cos^{4} (x), cos^{2} (x), sin^{22} (x)

Periodicity of

4 cos^{4} (x) : π

Periodicity of

cos^{2} (x) : π

Periodicity of

sin^{22} (x) : π

Combine periods:

π, π, π

= π

What is the FUNCTION_MANY#periodicity of f(x)=4cos^4(x)-cos^2(x)+1+sin^{22}(x) ?
The FUNCTION_MANY#periodicity of f(x)=4cos^4(x)-cos^2(x)+1+sin^{22}(x) is pi