Q. 293.8( 4 Votes )

# Find the general

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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