What is the f(x)=sin(2x)+cos(2x)+cot(2x) ?

The f(x)=sin(2x)+cos(2x)+cot(2x) is

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f(x)=sin(2x)+cos(2x)+cot(2x)

f (x) = sin (2 x) + cos (2 x) + cot (2 x)

Period : π

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

Intercepts : None

Asymptotes : None

Interval Notation

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

Solution steps

Periodicity of

sin (2 x) + cos (2 x) + cot (2 x) : π

Domain of

sin (2 x) + cos (2 x) + cot (2 x) : πn < x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Axis interception points of

sin (2 x) + cos (2 x) + cot (2 x) :

None

Asymptotes of

sin (2 x) + cos (2 x) + cot (2 x) :

None