Solve the following equations :


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,



Dividing both sides by 2√2 :


We have,


.


where cos α = π /4


{ cos π/4 = 1/√2 }


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




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