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Popular >

f(t)=cos(t)

Solution

f (t) = cos (t)

Solution

Period : 2 π

Domain : - \infty < t < \infty

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

X Intercepts : (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (2 πn, 1), Minimum (π + 2 πn, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

cos (t) : 2 π

Domain of

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

Range of

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

Axis interception points of

cos (t) :

X Intercepts

: (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos (t) :

None

Extreme Points of

cos (t) :

Maximum

(2 πn, 1),

Minimum

(π + 2 πn, - 1)

Popular Examples

limit as x approaches 0 of 2xcos(1/x)-2

x \to 0 lim (2 x cos (\frac{1}{x}) - 2)

derivative of f(x)=(4x+2)^{-1}derivative of

f (x) = (4 x + 2)^{- 1}

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

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

integral of 1/(sec(y)tan(y))

\int \frac{1}{sec ( y ) tan ( y )} d y

y^{^{'}} + 2 y = e^{3 x}

Frequently Asked Questions (FAQ)

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