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

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

Popular >

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

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

y = (m + 1) \cdot x - m - 2

f (a) = 1 - cos (3 a)

f (x) = x^{2} sin (x^{4})

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

f (x) = 2 x - 4 x - 1

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