Find all angles in radians that satisfy the equation For eac

Find all angles in radians that satisfy the equation. For each solution enter first the angle solution in [0,?) or [0,2?) (depending on the trigonometric function) then the period. When 2 or more solutions are available enter them in increasing order of the angles.

Solution

Given equation is

cos x* tan x – cos x = 0

cos x* (tan x - 1) = 0

cos x = 0 ========> x = pi/2, 3pi/2

tan x = 1 =========> x = pi/4, 5pi/4

These are the required values of x.