Question

tan 3x – cotx = 0 find it using general solution​

Answer 1

Answer:

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,

We know that: cot θ = tan (π/2 – θ)

∴

If tan x = tan y, then x is given by x = nπ + y, where n ∈ Z.

From above expression, on comparison with standard equation we have

y =

∴

⇒

∴

,where n ϵ Z …..ans