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)+5cos(x)

Solution

f (x) = sin (x) + 5 cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 26 \leq f (x) \leq 26

X Intercepts : (- arctan (5) + π + 2 πn, 0), (- arctan (5) + 2 π + 2 πn, 0), Y Intercepts : (0, 5)

Asymptotes : None

Extreme Points : Maximum (arctan (\frac{1}{5}) + 2 πn, 26), Minimum (arctan (\frac{1}{5}) + π + 2 πn, - 26)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 26, 26]

Solution steps

Periodicity of

sin (x) + 5 cos (x) : 2 π

Domain of

sin (x) + 5 cos (x) : - \infty < x < \infty

Range of

sin (x) + 5 cos (x) : - 26 \leq f (x) \leq 26

Axis interception points of

sin (x) + 5 cos (x) :

X Intercepts

: (- arctan (5) + π + 2 πn, 0), (- arctan (5) + 2 π + 2 πn, 0),

Y Intercepts

: (0, 5)

Asymptotes of

sin (x) + 5 cos (x) :

None

Extreme Points of

sin (x) + 5 cos (x) :

Maximum

(arctan (\frac{1}{5}) + 2 πn, 26),

Minimum

(arctan (\frac{1}{5}) + π + 2 πn, - 26)

Popular Examples

f(x)=x^3-3x^2+1,-1/2 <= x<= 4

f (x) = x^{3} - 3 x^{2} + 1, - \frac{1}{2} \leq x \leq 4

f(x)=sqrt(4-x^2)+sqrt(1+x)

f (x) = 4 - x^{2} + 1 + x

g(t)=(4t^2-3t+2)^{-2}

g (t) = (4 t^{2} - 3 t + 2)^{- 2}

f(x)=sqrt(6+\sqrt{2+\sqrt{x)}}

f (x) = 6 + 2 + x

f(x)=(1-x)^{2/3}

f (x) = (1 - x)^{\frac{2}{3}}

Frequently Asked Questions (FAQ)

What is the f(x)=sin(x)+5cos(x) ?
The f(x)=sin(x)+5cos(x) is