en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=cos((9x)/2)sin(x/2)

Solution

f (x) = cos (\frac{9 x}{2}) sin (\frac{x}{2})

Solution

Period : 2 π

Domain : - \infty < x < \infty

X Intercepts : (\frac{π}{9} + 2 πn, 0), (\frac{5 π}{9} + 2 πn, 0), (π + 2 πn, 0), (\frac{13 π}{9} + 2 πn, 0), (\frac{17 π}{9} + 2 πn, 0), (\frac{π}{3} + 2 πn, 0), (\frac{7 π}{9} + 2 πn, 0), (\frac{11 π}{9} + 2 πn, 0), (\frac{5 π}{3} + 2 πn, 0), (2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Periodicity of

cos (\frac{9 x}{2}) sin (\frac{x}{2}) : 2 π

Domain of

cos (\frac{9 x}{2}) sin (\frac{x}{2}) : - \infty < x < \infty

Axis interception points of

cos (\frac{9 x}{2}) sin (\frac{x}{2}) :

X Intercepts

: (\frac{π}{9} + 2 πn, 0), (\frac{5 π}{9} + 2 πn, 0), (π + 2 πn, 0), (\frac{13 π}{9} + 2 πn, 0), (\frac{17 π}{9} + 2 πn, 0), (\frac{π}{3} + 2 πn, 0), (\frac{7 π}{9} + 2 πn, 0), (\frac{11 π}{9} + 2 πn, 0), (\frac{5 π}{3} + 2 πn, 0), (2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

cos (\frac{9 x}{2}) sin (\frac{x}{2}) :

None

Popular Examples

f(x)=10^{log_{3}(x)}

f (x) = 1 0^{l o g_{3} (x)}

y=3cos(x+pi/3)-1

y = 3 cos (x + \frac{π}{3}) - 1

f(θ)=sec(θ)+csc(θ)

f (θ) = sec (θ) + csc (θ)

f (θ) = 9 cos (θ)

y = \frac{x + 5}{x - 6}

Frequently Asked Questions (FAQ)

What is the f(x)=cos((9x)/2)sin(x/2) ?
The f(x)=cos((9x)/2)sin(x/2) is