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Popular >

f(x)=sin(x)tan(x)

Solution

f (x) = sin (x) tan (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 : Minimum (2 πn, 0), Maximum (π + 2 πn, 0)

+1

Interval Notation

Range : (- \infty, \infty)

Solution steps

Periodicity of

sin (x) tan (x) : 2 π

Domain of

sin (x) tan (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

sin (x) tan (x) : - \infty < f (x) < \infty

Axis interception points of

sin (x) tan (x) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (x) tan (x) :

Vertical

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

Extreme Points of

sin (x) tan (x) :

Minimum

(2 πn, 0),

Maximum

(π + 2 πn, 0)

Graph

Popular Examples

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y = e^{3 x} cos (π x)

integral of (x^2)/((3+4x-4x^2)^{3/2)}

\int \frac{x ^{2}}{( 3 + 4 x - 4 x ^{2} ) ^{\frac{3}{2}}} d x

derivative of (12x/(x^2-4))

\frac{d}{d x} (\frac{12 x}{x ^{2} - 4})

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y = 7 x + \frac{5}{sin ( x )}

x^3(dy)/(dx)+y^2=0

x^{3} \frac{d y}{d x} + y^{2} = 0

Frequently Asked Questions (FAQ)

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