Trigonometry - Solving Trig Equations

Solve -6sinx-3 = 9 where 0 ≤ x < 2π

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Solve cos(2x)-1=0 where 0 ≤ x < 360

x = 0, 180

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

x = 0, 90, 180

Solve sin 2x = -√3/2 where 0 ≤ x < 360

x = 120, 300, 150, 330

Solve cos 3x = √2/2 where 0 ≤ x < 360

x = 15, 135, 255, 105, 225, 345

Solve sec 2x = 2/√3 where 0 ≤ x < 360

x = 15, 165, 195, 345

Solve 3 sin x - 2 = 7 sin x - 1 where 0 ≤ x < 360

x = 194.5, 345.5

Solve sin x - 3 = 5 sin x where 0 ≤ x < 360

x = 228.6, 311.4

Solve 2sinx - 1 = 0 where 0 ≤ x < 360

x = 30, 150

Solve sin 3x = 1 where 0 ≤ x < 360

x = 30, 150, 270

Solve 4 sin x - 3 = 0 where 0 ≤ x < 360

x = 48.6, 131.4

Solve 3cot²x - 1 = 0 where 0 ≤ x < 360

x = 60, 120, 240, 300

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

x = 90, 210, 330

Solve 2sin²x-2=0 where 0≤ x < 360

x = 90, 270

Solve cosxtanx-cosx=0 where 0 ≤ x < 360

x = 90,270,45,225

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

x = no solution

Solve 3cosx=0 where 0 ≤ x < 2π

x = π/2, 3π/2

Solve tan x = 1 where 0 ≤ x < 2π

x = π/4, 5π/4

Solve 3tan²x - 9 = 0 where 0 ≤ x < 2pi

x= π/3, 2π/3, 4π/3, 5π/3

Solve cos x = √3/2 where 0 ≤ x < 2π

x= π/6, 11π/6

Solve sinx - 2sinxcosx = 0 where 0 ≤ x < 360 (hint: factor)

x=0, 60, 180, 300, 360

Solve cot x = -1 where 0 ≤ x < 360

x=135, 315

Solve 3sec²x - 4 = 0 where 0 ≤ x < 360

x=30, 150, 210, 330

Solve csc²x - cscx - 2 = 0 where 0 ≤ x < 360

x=30, 150, 270