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Popular >

f(y)=cos(y)

Solution

f (y) = cos (y)

Solution

Period : 2 π

Domain : - \infty < y < \infty

Range : - 1 \leq f (y) \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 (y) : 2 π

Domain of

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

Range of

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

Axis interception points of

cos (y) :

X Intercepts

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

Y Intercepts

: (0, 1)

Asymptotes of

cos (y) :

None

Extreme Points of

cos (y) :

Maximum

(2 πn, 1),

Minimum

(π + 2 πn, - 1)

Popular Examples

integral from 0 to 5 of (x/(sqrt(x+4)))

\int_{0}^{5} (\frac{x}{x + 4}) d x

y^{^{'}} + y + 1 = 0

derivative of (1+xcos(x))

\frac{d}{d x} ((1 + x) cos (x))

derivative of f(t)=cos^2(e^{cos^2(t)})derivative of

f (t) = cos^{2} (e^{c o s^{2} (t)})

integral of (19)/(x^2+1)

\int \frac{19}{x ^{2} + 1} d x

Frequently Asked Questions (FAQ)

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