Answer :

Given equation is:



We need to solve the above equation.


If we can convert this to a single trigonometric ratio, we can easily give its solution by using the formula.


For this,


Let, r sinα = √3 – 1 and r cosα = √3 + 1



And,


Hence, equation can be rewritten as-


r(sinα cos θ + r cosα sin θ) = 2


2√2 sin (θ + α) = 2


sin(θ + α) = 1/√2 = sin π/4


We know that: General solution of trigonometric equation


sin x = sin α is given as –


x = nπ + (-1)nα , n Z


θ + α = nπ + (-1)n(π/4)


θ = {nπ + (-1)n(π/4) – α} ,where tan α = and n Z


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