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Popular >

f(t)=sin(2t)

Solution

f (t) = sin (2 t)

Solution

Period : π

Domain : - \infty < t < \infty

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

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin (2 t) : π

Domain of

sin (2 t) : - \infty < t < \infty

Range of

sin (2 t) : - 1 \leq f (t) \leq 1

Axis interception points of

sin (2 t) :

X Intercepts

: (πn, 0), (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (2 t) :

None

Extreme Points of

sin (2 t) :

Maximum

(\frac{π}{4} + πn, 1),

Minimum

(\frac{3 π}{4} + πn, - 1)

Popular Examples

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\int - \frac{1}{( t + 1 ) ^{2}} d t

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\frac{d}{d x} (x^{2} + 4 x (\frac{36.5}{x ^{2}}))

tangent of f(x)=x+sqrt(x),(4,6)tangent of

f (x) = x + x, (4, 6)

integral of 1/((144-x^2)^{3/2)}

\int \frac{1}{( 144 - x ^{2} ) ^{\frac{3}{2}}} d x

derivative of e^{-x-y}

\frac{d}{d x} (e^{- x - y})

Frequently Asked Questions (FAQ)

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