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Popular >

f(x)=sin^2(x)*cos^2(x)

Solution

f (x) = sin^{2} (x) \cdot cos^{2} (x)

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq \frac{1}{4}

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}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \frac{1}{4}]

Solution steps

Periodicity of

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

Domain of

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

Range of

sin^{2} (x) \cdot cos^{2} (x) : 0 \leq f (x) \leq \frac{1}{4}

Axis interception points of

sin^{2} (x) \cdot cos^{2} (x) :

X Intercepts

: (\frac{πn}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin^{2} (x) \cdot cos^{2} (x) :

None

Extreme Points of

sin^{2} (x) \cdot cos^{2} (x) :

Minimum

(\frac{π}{2} n, 0),

Maximum

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

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Frequently Asked Questions (FAQ)

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