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Popular >

f(θ)=sin(θ)cos(θ)

Solution

f (θ) = sin (θ) cos (θ)

Solution

Period : π

Domain : - \infty < θ < \infty

Range : - \frac{1}{2} \leq f (θ) \leq \frac{1}{2}

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

Asymptotes : None

Extreme Points : Maximum (\frac{π}{4} + πn, \frac{1}{2}), Minimum (\frac{3 π}{4} + πn, - \frac{1}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{2}, \frac{1}{2}]

Solution steps

Periodicity of

sin (θ) cos (θ) : π

Domain of

sin (θ) cos (θ) : - \infty < θ < \infty

Range of

sin (θ) cos (θ) : - \frac{1}{2} \leq f (θ) \leq \frac{1}{2}

Axis interception points of

sin (θ) cos (θ) :

X Intercepts

: (πn, 0), (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (θ) cos (θ) :

None

Extreme Points of

sin (θ) cos (θ) :

Maximum

(\frac{π}{4} + πn, \frac{1}{2}),

Minimum

(\frac{3 π}{4} + πn, - \frac{1}{2})

Popular Examples

line (-3,4),(-1,5)line

(- 3, 4), (- 1, 5)

symmetry y=x^2+8 symmetry

y = x^{2} + 8

asymptotes of f(x)=(x-3)/(x^2+7x+12)asymptotes

f (x) = \frac{x - 3}{x ^{2} + 7 x + 12}

inverse of (x-1)/(x-4)inverse

\frac{x - 1}{x - 4}

domain of f(x)=(6+x)/(x+7)domain

f (x) = \frac{6 + x}{x + 7}

Frequently Asked Questions (FAQ)

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