en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(θ)=sin^2(θ)*cos^2(θ)

Solution

f (θ) = sin^{2} (θ) \cdot cos^{2} (θ)

Solution

Period : \frac{π}{2}

Domain : - \infty < θ < \infty

Range : 0 \leq f (θ) \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} (θ) \cdot cos^{2} (θ) : \frac{π}{2}

Domain of

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

Range of

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

Axis interception points of

sin^{2} (θ) \cdot cos^{2} (θ) :

X Intercepts

: (\frac{πn}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin^{2} (θ) \cdot cos^{2} (θ) :

None

Extreme Points of

sin^{2} (θ) \cdot cos^{2} (θ) :

Minimum

(\frac{π}{2} n, 0),

Maximum

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

Popular Examples

simplify 7.913(10^{-6})simplify

7.913 (1 0^{- 6})

simplify 6.1*10^{-2}simplify

6.1 \cdot 1 0^{- 2}

simplify 6.825*10^{-4}simplify

6.825 \cdot 1 0^{- 4}

simplify 3e^{ln(y^3)}y^{-2}simplify

3 e^{l n (y^{3})} y^{- 2}

simplify (7*10^8)(9*10^6)simplify

(7 \cdot 1 0^{8}) (9 \cdot 1 0^{6})

Frequently Asked Questions (FAQ)

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