What is the periodicity of f(θ)=sin(2θ)cos(θ)+sin^2(θ) ?

The periodicity of f(θ)=sin(2θ)cos(θ)+sin^2(θ) is 2pi

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periodicity of f(θ)=sin(2θ)cos(θ)+sin^2(θ)

periodicity

f (θ) = sin (2 θ) cos (θ) + sin^{2} (θ)

2 π

Solution steps

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

sin (2 θ) cos (θ), sin^{2} (θ)

Periodicity of

sin (2 θ) cos (θ) : 2 π

Periodicity of

sin^{2} (θ) : π

Combine periods:

2 π, π

= 2 π

f (x) = - 4 x^{4} - 9 x^{3} + 2 x^{2} + 7 x - 2

y = \frac{x}{x ^{2} + 49}

y = \frac{x}{x ^{2} + 25}

g (x) = \frac{2 + x}{3 - x}

What is the periodicity of f(θ)=sin(2θ)cos(θ)+sin^2(θ) ?
The periodicity of f(θ)=sin(2θ)cos(θ)+sin^2(θ) is 2pi