Trigonometry - Solving Trig Equations

#3

x = π/6, 11π/6 are the solutions to ________

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Solve -6sinx-3 = 9 where 0 ≤ x < 2π

x = no solution

Solve 2 cos x - 5 = 3 cos x - 2 where 0 ≤ x < 360

x = 30, 150

Solve 2sinx - 1 = 0 where 0 ≤ x < 360

x = 90, 210, 330

Solve 2sin²x - sin x - 1 = 0 where 0 ≤ x < 360 (hint: factor)

x = 90, 270

Solve 2sin²x-2=0 where 0≤ x < 360

x = π/2, 3π/2

Solve 3cosx=0 where 0 ≤ x < 2π

x= π/6, 11π/6

Solve cos x = √3/2 where 0 ≤ x < 2π

x = 0, 180

Solve cos(2x)-1=0 where 0 ≤ x < 360

x = 0, 90, 180

Solve sin²x - sinx = 0 where 0≤ x <360 (Hint: factor)

x = π/4, 5π/4

Solve tan x = 1 where 0 ≤ x < 2π

#9

Which equation doesn't belong? (number of solutions)

#2

Which equation has one of the solutions of x=0 ?

#1 and #2

Which equations have one of the solutions that is the same?