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Popular >

f(θ)=cos^6(θ)

Solution

f (θ) = cos^{6} (θ)

Solution

Period : π

Domain : - \infty < θ < \infty

Range : 0 \leq f (θ) \leq 1

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

Asymptotes : None

Extreme Points : Maximum (πn, 1), Minimum (\frac{π}{2} + πn, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 1]

Solution steps

Periodicity of

cos^{6} (θ) : π

Domain of

cos^{6} (θ) : - \infty < θ < \infty

Range of

cos^{6} (θ) : 0 \leq f (θ) \leq 1

Axis interception points of

cos^{6} (θ) :

X Intercepts

: (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos^{6} (θ) :

None

Extreme Points of

cos^{6} (θ) :

Maximum

(πn, 1),

Minimum

(\frac{π}{2} + πn, 0)

Popular Examples

g(x)=(3x)/(x^2-4)

g (x) = \frac{3 x}{x ^{2} - 4}

y=x^3+2x^2-4x+5

y = x^{3} + 2 x^{2} - 4 x + 5

f (x) = 9^{2}

y = x^{3} - 3 x^{2} + 6

f(x)=x^2-50x+200

f (x) = x^{2} - 50 x + 200

Frequently Asked Questions (FAQ)

What is the f(θ)=cos^6(θ) ?
The f(θ)=cos^6(θ) is