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Popular >

f(θ)=sin(2θ)

Solution

f (θ) = sin (2 θ)

Solution

Period : π

Domain : - \infty < θ < \infty

Range : - 1 \leq f (θ) \leq 1

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin (2 θ) : π

Domain of

sin (2 θ) : - \infty < θ < \infty

Range of

sin (2 θ) : - 1 \leq f (θ) \leq 1

Axis interception points of

sin (2 θ) :

X Intercepts

: (πn, 0), (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (2 θ) :

None

Extreme Points of

sin (2 θ) :

Maximum

(\frac{π}{4} + πn, 1),

Minimum

(\frac{3 π}{4} + πn, - 1)

Popular Examples

slope ofintercept y=-x-5 slope intercept

y = - x - 5

(4 - 12) (4 - 1)

inverse of f(x)=5x-12 inverse

f (x) = 5 x - 12

y = 5 x + 2

intercepts of f(x)=x^3+x^2-4x-4 intercepts

f (x) = x^{3} + x^{2} - 4 x - 4

Frequently Asked Questions (FAQ)

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