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Popular >

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

Solution

f (x) = \frac{tan ( x )}{sin ( x )}

Solution

Period : 2 π

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

Range : f (x) < - 1 or f (x) > 1

Intercepts : None

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

Extreme Points : None

+1

Solution steps

Periodicity of

\frac{tan ( x )}{sin ( x )} : 2 π

Domain of

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

Range of

\frac{tan ( x )}{sin ( x )} : f (x) < - 1 or f (x) > 1

Axis interception points of

\frac{tan ( x )}{sin ( x )} :

None

Asymptotes of

\frac{tan ( x )}{sin ( x )} :

Vertical

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

Extreme Points of

\frac{tan ( x )}{sin ( x )} :

None

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Frequently Asked Questions (FAQ)

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