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Popular >

f(x)=(1-cos(x))sin(x)

Solution

f (x) = (1 - cos (x)) sin (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - \frac{3 3}{4} \leq f (x) \leq \frac{3 3}{4}

X Intercepts : (2 πn, 0), (π + 2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (2 πn, 0), Maximum (\frac{2 π}{3} + 2 πn, \frac{3 3}{4}), Minimum (\frac{4 π}{3} + 2 πn, - \frac{3 3}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{3 3}{4}, \frac{3 3}{4}]

Solution steps

Periodicity of

(1 - cos (x)) sin (x) : 2 π

Domain of

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

Range of

(1 - cos (x)) sin (x) : - \frac{3 3}{4} \leq f (x) \leq \frac{3 3}{4}

Axis interception points of

(1 - cos (x)) sin (x) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

(1 - cos (x)) sin (x) :

None

Extreme Points of

(1 - cos (x)) sin (x) :

Minimum

(2 πn, 0),

Maximum

(\frac{2 π}{3} + 2 πn, \frac{3 3}{4}),

Minimum

(\frac{4 π}{3} + 2 πn, - \frac{3 3}{4})

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Frequently Asked Questions (FAQ)

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