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Popular >

f(x)=sec(2x)+tan(2x)

Solution

f (x) = sec (2 x) + tan (2 x)

Solution

Period : π

Domain : πn \leq x < \frac{π}{4} + πn or \frac{π}{4} + πn < x < \frac{3 π}{4} + πn or \frac{3 π}{4} + πn < x < π + πn

Range : f (x) < 0 or f (x) > 0

Y Intercepts : (0, 1)

Asymptotes : Vertical x = \frac{π}{4} + πn

Extreme Points : None

+1

Interval Notation

Domain : [πn, \frac{π}{4} + πn) \cup (\frac{π}{4} + πn, \frac{3 π}{4} + πn) \cup (\frac{3 π}{4} + πn, π + πn)

Range : (- \infty, 0) \cup (0, \infty)

Solution steps

Periodicity of

sec (2 x) + tan (2 x) : π

Domain of

sec (2 x) + tan (2 x) : πn \leq x < \frac{π}{4} + πn or \frac{π}{4} + πn < x < \frac{3 π}{4} + πn or \frac{3 π}{4} + πn < x < π + πn

Range of

sec (2 x) + tan (2 x) : f (x) < 0 or f (x) > 0

Axis interception points of

sec (2 x) + tan (2 x) :

Y Intercepts

: (0, 1)

Asymptotes of

sec (2 x) + tan (2 x) :

Vertical

: x = \frac{π}{4} + πn

Extreme Points of

sec (2 x) + tan (2 x) :

None

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Frequently Asked Questions (FAQ)

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