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Popular Functions >

f(θ)=sin(θ)

Solution

f (θ) = sin (θ)

Solution

Period : 2 π

Domain : - \infty < θ < \infty

Range : - 1 \leq f (θ) \leq 1

X Intercepts : (2 πn, 0), (π + 2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin (θ) : 2 π

Domain of

sin (θ) : - \infty < θ < \infty

Range of

sin (θ) : - 1 \leq f (θ) \leq 1

Axis interception points of

sin (θ) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (θ) :

None

Extreme Points of

sin (θ) :

Maximum

(\frac{π}{2} + 2 πn, 1),

Minimum

(\frac{3 π}{2} + 2 πn, - 1)

Graph

Popular Examples

domain of 9/(t^2-81)

d o main \frac{9}{t ^{2} - 81}

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in v erse f (x) = - 2 + (x - 2)^{3}

range of f(x)= 4/(1+2(0.5)^x)

r an g e f (x) = \frac{4}{1 + 2 ( 0.5 ) ^{x}}

asymptotes of f(x)= x/(\sqrt[4]{x^4+1)}

a sy m pt o t es f (x) = \frac{x}{4 x ^{4} + 1}

domain of 3x^2-sqrt(x-5)

d o main 3 x^{2} - x - 5

Frequently Asked Questions (FAQ)

What is the f(θ)=sin(θ) ?
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