Question

How do you solve `tanxsinx-tanx=0` in the interval [0,360]?

Answer 1

`0, pi/2, pi, 2pi`, or
0, 90, 180, 360

Explanation:

f(x) = tan x.sin x - tan x = 0
f(x) = tan x (sin x - 1) = 0
Either factor should be zero
a. tan x = 0
Unit circle --> x = 0, `x = pi, x = 2pi`
b. sin x - 1 = 0 --> sin x = 1
`x = pi/2`