Question

By drawing graphs of y = tan x and y = 3(2 - x)/4, x measured in radians, find the number of solutions of the equation 4tanx + 3x = 6 for x between 0 and π.

Answer 1

In Fig, the graphs of y = tan x and y = 3(2 - x)/4 are drawn (dotted line) and these are found to intersect at two points P and Q for 0 ≤ x < π. Hence the number of solutions is 2.