Q. 2 L5.0( 2 Votes )

# Find the general

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,

We know that: sin θ = cos (π/2 – θ)

We know that: -cos θ = cos (π – θ)

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

From above expression and on comparison with standard equation we have:

y =

Hence,

or

or

or

,where n ϵ Z

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