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Popular >

f(t)=(cos(2t))^2

Solution

f (t) = (cos (2 t))^{2}

Solution

Period : \frac{π}{2}

Domain : - \infty < t < \infty

Range : 0 \leq f (t) \leq 1

X Intercepts : (\frac{π}{4} + \frac{πn}{2}, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{2} n, 1), Minimum (\frac{π}{4} + \frac{π}{2} n, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 1]

Solution steps

Periodicity of

cos^{2} (2 t) : \frac{π}{2}

Domain of

cos^{2} (2 t) : - \infty < t < \infty

Range of

cos^{2} (2 t) : 0 \leq f (t) \leq 1

Axis interception points of

cos^{2} (2 t) :

X Intercepts

: (\frac{π}{4} + \frac{πn}{2}, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos^{2} (2 t) :

None

Extreme Points of

cos^{2} (2 t) :

Maximum

(\frac{π}{2} n, 1),

Minimum

(\frac{π}{4} + \frac{π}{2} n, 0)

Popular Examples

f(x)=sin(2x)cos(3x)

f (x) = sin (2 x) cos (3 x)

f (x) = x^{2} + x - 7

solvefor r,r=3+2cos(θ)solve for

r, r = 3 + 2 cos (θ)

y = - 8 x^{2} + 3 x - 7

f (x) = 1 + 3 x

Frequently Asked Questions (FAQ)

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