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

Answer 1

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.

Answer 2

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

Answer 3

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.

Answer 4

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