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Popular >

y=cos(3/2 x)

Solution

y = cos (\frac{3}{2} x)

Solution

Period : \frac{4 π}{3}

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{π}{3} + \frac{4 πn}{3}, 0), (π + \frac{4 πn}{3}, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (\frac{4 π}{3} n, 1), Minimum (\frac{2 π}{3} + \frac{4 π}{3} n, - 1)

+1

Solution steps

Periodicity of

cos (\frac{3}{2} x) : \frac{4 π}{3}

Domain of

cos (\frac{3}{2} x) : - \infty < x < \infty

Range of

cos (\frac{3}{2} x) : - 1 \leq f (x) \leq 1

Axis interception points of

cos (\frac{3}{2} x) :

X Intercepts

: (\frac{π}{3} + \frac{4 πn}{3}, 0), (π + \frac{4 πn}{3}, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos (\frac{3}{2} x) :

None

Extreme Points of

cos (\frac{3}{2} x) :

Maximum

(\frac{4 π}{3} n, 1),

Minimum

(\frac{2 π}{3} + \frac{4 π}{3} n, - 1)

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Frequently Asked Questions (FAQ)

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