en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

y = \frac{( sin ( x ) )}{( 2 cos ^{2} ( x ) )}

Solution

Period : 2 π

Domain : 2 πn \leq x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Range : - \infty < f (x) < \infty

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

Asymptotes : Vertical x = \frac{3 π}{2} + 2 πn, x = \frac{π}{2} + 2 πn

Extreme Points : None

+1

Interval Notation

Domain : [2 πn, \frac{π}{2} + 2 πn) \cup (\frac{π}{2} + 2 πn, \frac{3 π}{2} + 2 πn) \cup (\frac{3 π}{2} + 2 πn, 2 π + 2 πn)

Range : (- \infty, \infty)

Solution steps

Periodicity of

\frac{sin ( x )}{2 cos ^{2} ( x )} : 2 π

Domain of

\frac{sin ( x )}{2 cos ^{2} ( x )} : 2 πn \leq x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Range of

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

Axis interception points of

\frac{sin ( x )}{2 cos ^{2} ( x )} :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{sin ( x )}{2 cos ^{2} ( x )} :

Vertical

: x = \frac{3 π}{2} + 2 πn, x = \frac{π}{2} + 2 πn

Extreme Points of

\frac{sin ( x )}{2 cos ^{2} ( x )} :

None

Popular Examples

f (x) = 2 x + b

f(x)=x^3+6x^2-15x+8

f (x) = x^{3} + 6 x^{2} - 15 x + 8

f(x)=(x^2)/(4+x+1)

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

f(x)=(11x^9-80)/2

f (x) = \frac{11 x ^{9} - 80}{2}

p(x)=12x^2+6x-5

p (x) = 12 x^{2} + 6 x - 5

Frequently Asked Questions (FAQ)

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