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Popular >

f(x)=cos(x)

Solution

f (x) = cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) \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 (x) : 2 π

Domain of

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

Range of

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

Axis interception points of

cos (x) :

X Intercepts

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

Y Intercepts

: (0, 1)

Asymptotes of

cos (x) :

None

Extreme Points of

cos (x) :

Maximum

(2 πn, 1),

Minimum

(π + 2 πn, - 1)

Popular Examples

shift 1200+500sin(0.3t)shift

1200 + 500 sin (0.3 t)

asymptotes of f(x)=x^2-1 asymptotes

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

domain of 1/(sqrt(x^2-4))domain

\frac{1}{x ^{2} - 4}

inverse of f(x)=(x^3)/8-3 inverse

f (x) = \frac{x ^{3}}{8} - 3

domain of f(x)=(x-3)/(x^2-1)domain

f (x) = \frac{x - 3}{x ^{2} - 1}

Frequently Asked Questions (FAQ)

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