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Popular Functions >

y=cos(x),0<= x<= 2pi

Solution

y = cos (x), 0 \leq x \leq 2 π

Solution

Period : 2 π

Domain : 0 \leq x \leq 2 π

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

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

Asymptotes : None

Extreme Points : Maximum (0, 1), Minimum (π, - 1), Maximum (2 π, 1)

+1

Interval Notation

Domain : [0, 2 π]

Range : [- 1, 1]

Solution steps

Periodicity of

cos (x) : 2 π

Domain of

cos (x), 0 \leq x \leq 2 π : 0 \leq x \leq 2 π

Range of

cos (x), 0 \leq x \leq 2 π : - 1 \leq f (x) \leq 1

Axis interception points of

cos (x), 0 \leq x \leq 2 π :

X Intercepts

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

Y Intercepts

: (0, 1)

Asymptotes of

cos (x), 0 \leq x \leq 2 π :

None

Extreme Points of

cos (x), 0 \leq x \leq 2 π :

Maximum

(0, 1),

Minimum

(π, - 1),

Maximum

(2 π, 1)

Graph

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Frequently Asked Questions (FAQ)

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