en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y(θ)=sin(θ+pi/6)

Solution

y (θ) = sin (θ + \frac{π}{6})

Solution

Period : 2 π

Domain : - \infty < θ < \infty

Range : - 1 \leq f (θ) \leq 1

X Intercepts : (\frac{11 π}{6} + 2 πn, 0), (π - \frac{π}{6} + 2 πn, 0), Y Intercepts : (0, \frac{1}{2})

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin (θ + \frac{π}{6}) : 2 π

Domain of

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

Range of

sin (θ + \frac{π}{6}) : - 1 \leq f (θ) \leq 1

Axis interception points of

sin (θ + \frac{π}{6}) :

X Intercepts

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

Y Intercepts

: (0, \frac{1}{2})

Asymptotes of

sin (θ + \frac{π}{6}) :

None

Extreme Points of

sin (θ + \frac{π}{6}) :

Maximum

(\frac{π}{3} + 2 πn, 1),

Minimum

(\frac{4 π}{3} + 2 πn, - 1)

Popular Examples

g (t) = - 3

f(x)=-(x-1)^2+3

f (x) = - (x - 1)^{2} + 3

y = 3 (x - 1)^{2}

f(x)=(1/3)(3^{2x-1})

f (x) = (\frac{1}{3}) (3^{2 x - 1})

f(x)=x^3-3x^2-25x-21

f (x) = x^{3} - 3 x^{2} - 25 x - 21

Frequently Asked Questions (FAQ)

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