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Popular >

f(t)=sin(t)

Solution

f (t) = sin (t)

Solution

Period : 2 π

Domain : - \infty < t < \infty

Range : - 1 \leq f (t) \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 (t) : 2 π

Domain of

sin (t) : - \infty < t < \infty

Range of

sin (t) : - 1 \leq f (t) \leq 1

Axis interception points of

sin (t) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (t) :

None

Extreme Points of

sin (t) :

Maximum

(\frac{π}{2} + 2 πn, 1),

Minimum

(\frac{3 π}{2} + 2 πn, - 1)

Graph

Popular Examples

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\frac{d}{d x} (f (x) (sin (x)))

integral of 1/(9+16x^2)

\int \frac{1}{9 + 16 x ^{2}} d x

derivative of xln(sin(x))

\frac{d}{d x} (x ln (sin (x)))

integral from 0 to infinity of e^{-x}

\int_{0}^{\infty} e^{- x} d x

integral of xcos(x^2)

\int x cos (x^{2}) d x

Frequently Asked Questions (FAQ)

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