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,
\(\sqrt3\) cos x + sin x = 1
In all such problems we try to reduce the equation in an equation involving single trigonometric expression.
If cos x = cos y, implies x = 2nπ ± y, where n∈ Z
