Solve these trigonometric equations? 5 pts

1) √2 * Sin(x) - 1 = 0
2) √3* Tan(x) - 1 = 0
3) 2Cos^2x + Cos(x) - 1 = 0

Thanks beforehand!

√2 * Sin(x) - 1 = 0
√2 * Sin(x) = 1
Sin(x) = 1/√2
sin(x) = √2/2
x = pi/4

√3tan(x) - 1 = 0
tan(x) = 1/√3
tan(x) = √3/3
x = pi/6

2cos²(x) + cos(x) - 1 = 0
(cos(x) + 1)(2cos(x) - 1) = 0
cos(x) = -1, cos(x) = 1/2
x = pi, pi/3