Solve each equation below on the interval 0 ≤ x

Question

Solve each equation below on the interval 0 ≤ x < 2π. 
a. sin 2x - √2sin x = 0 
b. sin x + 2tan x = 0 
c. 2sin² x + 3cos x – 3 = 0

anonymous · Answer

a.  Use a double angle formula for sin 2x, which will put your first term in terms of sin x and cos x.  Pretty straightforward to solve from there.

anonymous · Answer

b.  Show tan x as a quotient, then you will be able to solve for x pretty easily.

anonymous · Answer

c.  Let sin^2 x = 1-cos^2 x, then make a substitution u=cos x.  You will have a quadratic equation that you can solve and get a solution for x.

anonymous · Answer