Question

Solve: tan x = cot x

(a) x = nπ/2 + (π/4)

(b) x = nπ + (3π/4)

(c) x = nπ + (π/4)

(d) x = nπ/2 + (3π/4)

The question was asked in an international level competition.

I'm obligated to ask this question of Trigonometric Equations in chapter Trigonometric Functions of Mathematics – Class 11

Answer 1

Right answer is (a) x = nπ/2 + (π/4)

The best explanation: tan x = cot x

tan x = cot (π/2 – x)

x = nπ + (π/2 – x)

2x = nπ + (π/2)

x = nπ/2 + (π/4).