How do I find all angles 0°≤theta<360°, that satisfy the equation to the nearest tenth of a degree, 2 sinx tanx =9tanx?

Answer 1

sin*sin/cos = 9 * sin/cos

sin^2 = 9*sin

sin^2 - 9 * sin = 0

sin( sin - 9) = 0

sin=0 or sin-9 = 0

sin = 0 or sin = 9 <--- sine cannot be 9; it is always between -1 and 1

sine is zero at 0,180 or 0 and pi