Trigonometry - Solving Trig Equations (° and π)

2π/3, 4π/3

2 cos x =-1

3π/2

2 sin x + 2 =0

No solution

2 sin x + 2 =5

1/3

If sec x =3, what is the value of cos x?

x=30, 150, 270

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

x = 15, 165, 195, 345

Solve sec 2x = 2/√3 where 0 ≤ x < 360

x = 30, 150, 270

Solve sin 3x = 1 where 0 ≤ x < 360

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Solve -6sinx-3 = 9 where 0 ≤ x < 2π

x=0, 60, 180, 300, 360

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

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

1/2

sec x sin x =2. Find cot x

-π/3

sin x + √3=-sin x [-π/2 , π/2]

π/4, 5π/4

tan x cos x - cos x =0

0

tan²x=-tan x (-π/2,π/2)

π/4, -π/4

tan²x=1 (-π/2,π/2)

x = 90, 270

Solve 2sin²x-2=0 where 0≤ x < 360

π

cos x =-1 [0,π]

x = 30, 150

Solve 2sinx - 1 = 0 where 0 ≤ x < 360

x = π/2, 3π/2

Solve 3cosx=0 where 0 ≤ x < 2π

x = 60, 120, 240, 300

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

x= pi/3, 2pi/3, 4pi/3, 5pi/3

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

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

Solve cos 3x = √2/2 where 0 ≤ x < 360

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 = 120, 300, 150, 330

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

5π/4, 7π/4

csc x =- √2

π/6, 5π/6

4 cos²x=3 [0,π]

0, π, π/6, 5π/6, 7π/6, 11π/6

4 sin²x tan x = tanx (-π/2,π/2)

x = 90, 210, 330

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

x=30, 150, 210, 330

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

x = 90,270,45,225

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

x=135, 315

Solve cot x = -1 where 0 ≤ x < 360