en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=-sin(x)*cos(x)

Solution

f (x) = - sin (x) \cdot cos (x)

Solution

Period : π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

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

Domain of

- sin (x) \cdot cos (x) : - \infty < x < \infty

Range of

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

Axis interception points of

- sin (x) \cdot cos (x) :

X Intercepts

: (πn, 0), (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- sin (x) \cdot cos (x) :

None

Extreme Points of

- sin (x) \cdot cos (x) :

Minimum

(\frac{π}{4} + πn, - \frac{1}{2}),

Maximum

(\frac{3 π}{4} + πn, \frac{1}{2})

Popular Examples

f(s)= s/(s^2+2s+2)

f (s) = \frac{s}{s ^{2} + 2 s + 2}

f(x)=(14)/(2x^2+7)

f (x) = \frac{14}{2 x ^{2} + 7}

f(x)=(|3x-2|)/(3x-2)

f (x) = \frac{∣ 3 x - 2 ∣}{3 x - 2}

f (x) = 9 - 5^{x - 1}

f(x)=3x^2-8x-12

f (x) = 3 x^{2} - 8 x - 12

Frequently Asked Questions (FAQ)

What is the f(x)=-sin(x)*cos(x) ?
The f(x)=-sin(x)*cos(x) is