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
undefined
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