en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

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

Solution

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

Solution

Period : π

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) \leq 2

X Intercepts : (- arctan (\frac{1}{2}) + π + πn, 0), (arctan (\frac{1}{2}) + πn, 0), Y Intercepts : (0, - 1)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 2]

Solution steps

Periodicity of

2 sin^{2} (x) - cos^{2} (x) : π

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- arctan (\frac{1}{2}) + π + πn, 0), (arctan (\frac{1}{2}) + πn, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(πn, - 1),

Maximum

(\frac{π}{2} + πn, 2)

Graph

Popular Examples

p(x)=6400x-18x^2-400

y=(sin(2x))/((x-2))

y=(2x+5)(x^3-x^8)(x^{-7})

y=x^2*cos(x)-2x*sin(x)-2cos(x)

Frequently Asked Questions (FAQ)

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