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Popular >

f(t)=6cos(t)tan(t)

Solution

f (t) = 6 cos (t) tan (t)

Solution

Period : 2 π

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

Range : - 6 < f (t) < 6

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

Asymptotes : None

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 : (- 6, 6)

Solution steps

Periodicity of

6 cos (t) tan (t) : 2 π

Domain of

6 cos (t) tan (t) : 2 πn \leq t < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < t < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < t < 2 π + 2 πn

Range of

6 cos (t) tan (t) : - 6 < f (t) < 6

Axis interception points of

6 cos (t) tan (t) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

6 cos (t) tan (t) :

None

Extreme Points of

6 cos (t) tan (t) :

None

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