Answer :


Ideas required to solve the problem:


The general solution of any trigonometric equation is given as –


• sin x = sin y, implies x = nπ + (– 1)ny, where n Z.


• cos x = cos y, implies x = 2nπ ± y, where n Z.


• tan x = tan y, implies x = nπ + y, where n Z.


Given,



We know that tan x and cot x have negative values in the 2nd and 4th quadrant.


While giving solution, we always try to take the least value of y.


The fourth quadrant will give the least magnitude of y as we are taking an angle in a clockwise sense (i.e. negative angle)



If tan x = tan y then x = nπ + y, where n Z.


For above equation y =


x = nπ + ,w here n ϵ Z


Or x = nπ - ,wh ere n ϵ Z


Thus, x gives the required general solution for the given trigonometric equation.


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