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, cos 150° =



If cos x = cos y then x = 2nπ ± y, where n Z.


For above equation y = 5π / 6


x = 2nπ ± 5π / 6 ,where n ϵ Z


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


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