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Popular >

f(θ)=2sin^2(θ)cos^2(θ)

Solution

f (θ) = 2 sin^{2} (θ) cos^{2} (θ)

Solution

Period : \frac{π}{2}

Domain : - \infty < θ < \infty

Range : 0 \leq f (θ) \leq \frac{1}{2}

X Intercepts : (\frac{πn}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{π}{2} n, 0), Maximum (\frac{π}{4} + \frac{π}{2} n, \frac{1}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \frac{1}{2}]

Solution steps

Periodicity of

2 sin^{2} (θ) cos^{2} (θ) : \frac{π}{2}

Domain of

2 sin^{2} (θ) cos^{2} (θ) : - \infty < θ < \infty

Range of

2 sin^{2} (θ) cos^{2} (θ) : 0 \leq f (θ) \leq \frac{1}{2}

Axis interception points of

2 sin^{2} (θ) cos^{2} (θ) :

X Intercepts

: (\frac{πn}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

2 sin^{2} (θ) cos^{2} (θ) :

None

Extreme Points of

2 sin^{2} (θ) cos^{2} (θ) :

Minimum

(\frac{π}{2} n, 0),

Maximum

(\frac{π}{4} + \frac{π}{2} n, \frac{1}{2})

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Frequently Asked Questions (FAQ)

What is the f(θ)=2sin^2(θ)cos^2(θ) ?
The f(θ)=2sin^2(θ)cos^2(θ) is