en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=3sin(x+pi/6)

Solution

y = 3 sin (x + \frac{π}{6})

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 3 \leq f (x) \leq 3

X Intercepts : (\frac{11 π}{6} + 2 πn, 0), (π - \frac{π}{6} + 2 πn, 0), Y Intercepts : (0, \frac{3}{2})

Asymptotes : None

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

+1

Solution steps

Periodicity of

3 sin (x + \frac{π}{6}) : 2 π

Domain of

3 sin (x + \frac{π}{6}) : - \infty < x < \infty

Range of

3 sin (x + \frac{π}{6}) : - 3 \leq f (x) \leq 3

Axis interception points of

3 sin (x + \frac{π}{6}) :

X Intercepts

: (\frac{11 π}{6} + 2 πn, 0), (π - \frac{π}{6} + 2 πn, 0),

Y Intercepts

: (0, \frac{3}{2})

Asymptotes of

3 sin (x + \frac{π}{6}) :

None

Extreme Points of

3 sin (x + \frac{π}{6}) :

Maximum

(\frac{π}{3} + 2 πn, 3),

Minimum

(\frac{4 π}{3} + 2 πn, - 3)

Popular Examples

f(x)=\sqrt[3]{30x^2-x^3}

y=-1/16 x^2+4x+5

y = - \frac{1}{16} x^{2} + 4 x + 5

P(x)=x^4+6x^3+11x^2+6x

P (x) = x^{4} + 6 x^{3} + 11 x^{2} + 6 x

y=cos(arcsec(x^2+1))

y = cos (arcsec (x^{2} + 1))

h (x) = 6 - x

Frequently Asked Questions (FAQ)

What is the y=3sin(x+pi/6) ?
The y=3sin(x+pi/6) is