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Popular >

y=-3cot(2x)sec(2x)

Solution

y = - 3 cot (2 x) sec (2 x)

Solution

Period : π

Domain : πn < x < \frac{π}{4} + πn or \frac{π}{4} + πn < x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < \frac{3 π}{4} + πn or \frac{3 π}{4} + πn < x < π + πn

Range : f (x) < - 3 or f (x) > 3

Intercepts : None

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

Extreme Points : None

+1

Interval Notation

Domain : (πn, \frac{π}{4} + πn) \cup (\frac{π}{4} + πn, \frac{π}{2} + πn) \cup (\frac{π}{2} + πn, \frac{3 π}{4} + πn) \cup (\frac{3 π}{4} + πn, π + πn)

Range : (- \infty, - 3) \cup (3, \infty)

Solution steps

Periodicity of

- 3 cot (2 x) sec (2 x) : π

Domain of

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

Range of

- 3 cot (2 x) sec (2 x) : f (x) < - 3 or f (x) > 3

Axis interception points of

- 3 cot (2 x) sec (2 x) :

None

Asymptotes of

- 3 cot (2 x) sec (2 x) :

Vertical

: x = \frac{π}{2} + πn, x = πn

Extreme Points of

- 3 cot (2 x) sec (2 x) :

None

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