Q. 3 F5.0( 1 Vote )

Solve the following equations :


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)n y, 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,






either, or


or


or


or


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


Clearly by comparing standard form with obtained equation we have:


y = π/6 or y = -π/3


or


Hence,


,where m,n ϵ Z


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