Find all exact solutions in radians.

Question

a) 2sin^2 x = sin x     b) 2cos^2 x−cos x−1=0       c) tan^2x−tan x = 0

Answer 1

Solve ALL of these equations by factoring, e.g.

 

a)  2sin²x - sin x = 0

sin x(2sin x - 1) = 0

thus x = arcsin 0 or x = arcsin ½ et cetera.