en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=cos^2(x)-2sin(x)

Solution

f (x) = cos^{2} (x) - 2 sin (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 2 \leq f (x) \leq 2

X Intercepts : (arcsin (2 - 1) + 2 πn, 0), (π - arcsin (2 - 1) + 2 πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 2]

Solution steps

Periodicity of

cos^{2} (x) - 2 sin (x) : 2 π

Domain of

cos^{2} (x) - 2 sin (x) : - \infty < x < \infty

Range of

cos^{2} (x) - 2 sin (x) : - 2 \leq f (x) \leq 2

Axis interception points of

cos^{2} (x) - 2 sin (x) :

X Intercepts

: (arcsin (2 - 1) + 2 πn, 0), (π - arcsin (2 - 1) + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos^{2} (x) - 2 sin (x) :

None

Extreme Points of

cos^{2} (x) - 2 sin (x) :

Minimum

(\frac{π}{2} + 2 πn, - 2),

Maximum

(\frac{3 π}{2} + 2 πn, 2)

Popular Examples

integral from 0 to infinity of cos(pix)

\int_{0}^{\infty} cos (π x) d x

integral of 8cos^2(x)

\int 8 cos^{2} (x) d x

(1xy^2+4y)dx+(1x^2y+4x)dy=0

(1 x y^{2} + 4 y) d x + (1 x^{2} y + 4 x) d y = 0

derivative of y=x^2-6x+9 derivative of

y = x^{2} - 6 x + 9

derivative of ax^2+bx

\frac{d}{d x} (a x^{2} + b x)

Frequently Asked Questions (FAQ)

What is the f(x)=cos^2(x)-2sin(x) ?
The f(x)=cos^2(x)-2sin(x) is