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Popular >

f(θ)=-cos(2θ)

Solution

f (θ) = - cos (2 θ)

Solution

Period : π

Domain : - \infty < θ < \infty

Range : - 1 \leq f (θ) \leq 1

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

Asymptotes : None

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

+1

Solution steps

Periodicity of

- cos (2 θ) : π

Domain of

- cos (2 θ) : - \infty < θ < \infty

Range of

- cos (2 θ) : - 1 \leq f (θ) \leq 1

Axis interception points of

- cos (2 θ) :

X Intercepts

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

Y Intercepts

: (0, - 1)

Asymptotes of

- cos (2 θ) :

None

Extreme Points of

- cos (2 θ) :

Minimum

(πn, - 1),

Maximum

(\frac{π}{2} + πn, 1)

Popular Examples

y=(10^x-10^{-x})/2

y = \frac{1 0 ^{x} - 1 0 ^{- x}}{2}

y = sin (\frac{1}{3} x)

y = x^{80}

y = \frac{1}{- 4} x + \frac{7}{4}

y=0.6x^3-9.9143x^2+52.271x-83.966

y = 0.6 x^{3} - 9.9143 x^{2} + 52.271 x - 83.966

Frequently Asked Questions (FAQ)

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