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Popular Functions >

f(w)=tan(w)sec(w)

Solution

f (w) = tan (w) sec (w)

Solution

Period : 2 π

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

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

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

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

tan (w) sec (w) : 2 π

Domain of

tan (w) sec (w) : 2 πn \leq w < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < w < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < w < 2 π + 2 πn

Range of

tan (w) sec (w) : - \infty < f (w) < \infty

Axis interception points of

tan (w) sec (w) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

tan (w) sec (w) :

Vertical

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

Extreme Points of

tan (w) sec (w) :

None

Graph

Popular Examples

f(x)=-5-4cos(x/2-(3pi)/8)

f(x)=(sqrt(x+5)-3)/(x^2-16)

g(x)= x/(x^2-16)

f(x)=(x+2)^5(x-3)^4

Frequently Asked Questions (FAQ)

What is the f(w)=tan(w)sec(w) ?
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