Question Number 103823 by bobhans last updated on 17/Jul/20

tan (x) = 4 cos (2x)−cot (2x)

Answered by Dwaipayan Shikari last updated on 17/Jul/20

((sinx)/(cosx))=cos2x(4−(1/(sin2x)))  ((sinx)/(cosx))=((2sin4x−cos2x)/(2sinxcosx))  2sin^2 x=2sin4x−cos2x  1−cos2x=2sin4x−cos2x  sin4x=(1/2)  4x=2kπ+(−1)^k (π/6)  x=((kπ)/2)±(π/(24))=(12k±1)(π/(24))= { k,m∈Z   (general solution

Answered by bobhans last updated on 17/Jul/20