en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(2+3sin(x))/(cos^2(x))

Solution

f (x) = \frac{2 + 3 sin ( x )}{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 : (- arcsin (\frac{2}{3}) + 2 π + 2 πn, 0), (π + arcsin (\frac{2}{3}) + 2 πn, 0), Y Intercepts : (0, 2)

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

Extreme Points : None

+1

Solution steps

Periodicity of

\frac{2 + 3 sin ( x )}{cos ^{2} ( x )} : 2 π

Domain of

\frac{2 + 3 sin ( x )}{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{2 + 3 sin ( x )}{cos ^{2} ( x )} : - \infty < f (x) < \infty

Axis interception points of

\frac{2 + 3 sin ( x )}{cos ^{2} ( x )} :

X Intercepts

: (- arcsin (\frac{2}{3}) + 2 π + 2 πn, 0), (π + arcsin (\frac{2}{3}) + 2 πn, 0),

Y Intercepts

: (0, 2)

Asymptotes of

\frac{2 + 3 sin ( x )}{cos ^{2} ( x )} :

Vertical

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

Extreme Points of

\frac{2 + 3 sin ( x )}{cos ^{2} ( x )} :

None

Popular Examples

p(x)=(2x*(3/2)^2+11*3)/(2-21)

p (x) = \frac{2 x \cdot ( \frac{3}{2} ) ^{2} + 11 \cdot 3}{2 - 21}

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

f (x) = \frac{( x + 3 )}{( x - 3 )}

f(x)=3x^2-4|x^2-1|+x-1

f (x) = 3 x^{2} - 4 x^{2} - 1 + x - 1

f(x)=5x^3-3x^2+2

f (x) = 5 x^{3} - 3 x^{2} + 2

f(p)= 1/((p(p^2+1)))

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

Frequently Asked Questions (FAQ)

What is the f(x)=(2+3sin(x))/(cos^2(x)) ?
The f(x)=(2+3sin(x))/(cos^2(x)) is