en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=cos(x)sin(x)

Solution

f (x) = cos (x) sin (x)

Solution

Period : π

Domain : - \infty < x < \infty

Range : - \frac{1}{2} \leq f (x) \leq \frac{1}{2}

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

Asymptotes : None

Extreme Points : Maximum (\frac{π}{4} + πn, \frac{1}{2}), Minimum (\frac{3 π}{4} + πn, - \frac{1}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Periodicity of

cos (x) sin (x) : π

Domain of

cos (x) sin (x) : - \infty < x < \infty

Range of

cos (x) sin (x) : - \frac{1}{2} \leq f (x) \leq \frac{1}{2}

Axis interception points of

cos (x) sin (x) :

X Intercepts

: (\frac{π}{2} + πn, 0), (πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

cos (x) sin (x) :

None

Extreme Points of

cos (x) sin (x) :

Maximum

(\frac{π}{4} + πn, \frac{1}{2}),

Minimum

(\frac{3 π}{4} + πn, - \frac{1}{2})

Popular Examples

extreme f(x)=x^3-6x^2+9x extreme points

f (x) = x^{3} - 6 x^{2} + 9 x

domain of 1/(x^{3/2)+3x}domain

\frac{1}{x ^{\frac{3}{2}} + 3 x}

amplitude of tan(x)-4 amplitude

tan (x) - 4

range of sin(t)-(cos(t)+sin(t))range

sin (t) - (cos (t) + sin (t))

extreme 3cos(4x)extreme points

3 cos (4 x)

Frequently Asked Questions (FAQ)

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