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
∴