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Popular >

y=(3cos^6(x))/5

Solution

y = \frac{3 cos ^{6} ( x )}{5}

Solution

Period : π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq \frac{3}{5}

X Intercepts : (\frac{π}{2} + πn, 0), Y Intercepts : (0, \frac{3}{5})

Asymptotes : None

Extreme Points : Maximum (πn, \frac{3}{5}), Minimum (\frac{π}{2} + πn, 0)

+1

Solution steps

Periodicity of

\frac{3 cos ^{6} ( x )}{5} : π

Domain of

\frac{3 cos ^{6} ( x )}{5} : - \infty < x < \infty

Range of

\frac{3 cos ^{6} ( x )}{5} : 0 \leq f (x) \leq \frac{3}{5}

Axis interception points of

\frac{3 cos ^{6} ( x )}{5} :

X Intercepts

: (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, \frac{3}{5})

Asymptotes of

\frac{3 cos ^{6} ( x )}{5} :

None

Extreme Points of

\frac{3 cos ^{6} ( x )}{5} :

Maximum

(πn, \frac{3}{5}),

Minimum

(\frac{π}{2} + πn, 0)

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Frequently Asked Questions (FAQ)

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