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Popular >

f(t)=sin(5t)

Solution

f (t) = sin (5 t)

Solution

Period : \frac{2 π}{5}

Domain : - \infty < t < \infty

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

X Intercepts : (\frac{2 πn}{5}, 0), (\frac{π}{5} + \frac{2 πn}{5}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{10} + \frac{2 π}{5} n, 1), Minimum (\frac{3 π}{10} + \frac{2 π}{5} n, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin (5 t) : \frac{2 π}{5}

Domain of

sin (5 t) : - \infty < t < \infty

Range of

sin (5 t) : - 1 \leq f (t) \leq 1

Axis interception points of

sin (5 t) :

X Intercepts

: (\frac{2 πn}{5}, 0), (\frac{π}{5} + \frac{2 πn}{5}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (5 t) :

None

Extreme Points of

sin (5 t) :

Maximum

(\frac{π}{10} + \frac{2 π}{5} n, 1),

Minimum

(\frac{3 π}{10} + \frac{2 π}{5} n, - 1)

Popular Examples

integral of 125x^2cos(5x)

\int 125 x^{2} cos (5 x) d x

(\partial)/(\partial u)(u^2v^3)

\frac{\partial}{\partial u} (u^{2} v^{3})

limit as x approaches 0 of x^2-8

x \to 0 lim (x^{2} - 8)

integral of x^5sqrt(x^3+4)

\int x^{5} x^{3} + 4 d x

integral of ((x+5))/(x^2+10x+26)

\int \frac{( x + 5 )}{x ^{2} + 10 x + 26} d x

Frequently Asked Questions (FAQ)

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