en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

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

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{πn}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(\frac{π}{2} n, 0),

Maximum

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

Popular Examples

simplify sqrt(\sqrt[3]{729)}simplify

simplify (sqrt(y))^3 simplify

(y)^{3}

simplify (sqrt(-27))/(sqrt(-3))simplify

\frac{- 27}{- 3}

simplify e^{-x}cos(x)simplify

e^{- x} cos (x)

simplify (\sqrt[3]{4})^2 simplify

Frequently Asked Questions (FAQ)

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