en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

f(t)=sin(t)× cos(t)

Solution

f (t) = sin (t) \cdot cos (t)

Solution

Period : π

Domain : - \infty < t < \infty

Range : - \frac{1}{2} \leq f (t) \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 (t) \cdot cos (t) : π

Domain of

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

Range of

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

Axis interception points of

sin (t) \cdot cos (t) :

X Intercepts

: (πn, 0), (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (t) \cdot cos (t) :

None

Extreme Points of

sin (t) \cdot cos (t) :

Maximum

(\frac{π}{4} + πn, \frac{1}{2}),

Minimum

(\frac{3 π}{4} + πn, - \frac{1}{2})

Graph

Popular Examples

y=(x^3)/(1-x^2)

f(t)=\sqrt[3]{1+tan(t)}

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

y=(sin(x)-cos(x))/(sin(x)+cos(x))

Frequently Asked Questions (FAQ)

What is the f(t)=sin(t)× cos(t) ?
The f(t)=sin(t)× cos(t) is