Angle Identities

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What is the Reciprocal Identity of cot(x)

cos(x)/sin(x)

What is the Addition Formula for cos(α + β)?

cos(α)cos(β) - sin(α)sin(β)

What is the Addition Formula for cos(α - β)?

cos(α)cos(β) - sin(α)sin(β)

What is the Double-Angle Identity of cos2(x) (there are two of them)?

cos²(x) - sin²(x), 2cos²(x) - 1

What is the Reciprocal Identity of tan(x)

sin(x)/cos(x)

What is the Addition Formula for sin(α + β)?

sin(α)cos(β) + cos(α)sin(β)

What is the Addition Formula for sin(α - β)?

sin(α)cos(β) - cos(α)sin(β)

What is the Pythagorean Identity of 1?

sin²(x) + cos²(x)

What is the Pythagorean Identity of sec²(x)?

tan²(x) + 1

What is 180 deg. in radians?

π

What is 90 deg. in radians?

π/2

What is 60 deg. in radians?

π/3

What is 45 deg. in radians?

π/4

What is 30 deg. in radians?

π/6

What is the Half-Angle Identity of cos²(x)?

(1 + cos2(x))/2

What is the Half-Angle Identity of sin²(x)?

(1 - cos2(x))/2

What is the Double-Angle Identity of tan2(x) (there are two of them)?

(2tan(x))/(1 - tan²(x)), 1 - 2sin²(x)

What is the Addition Formula for tan(α + β)?

(tan(α) + tan(β))/(1 - tan(α)tan(β))

What is the Addition Formula for tan(α - β)?

(tan(α) - tan(β))/(1 + tan(α)tan(β))

What fractions/integers does π/4 (45°) equal to?

(√2)/2, (√2)/2

What fractions/integers does 7π/4 (315°) equal to?

(√2)/2, -(√2)/2

What fractions/integers does 11π/6 (330°) equal to?

(√3)/2, -1/2

What fractions/integers does π/6 (30°) equal to?

(√3)/2, 1/2

What fractions/integers does 3π/4 (135°) equal to?

-(√2)/2, (√2)/2

What fractions/integers does 5π/4 (225°) equal to?

-(√2)/2, -(√2)/2

What fractions/integers does 5π/6 (150°) equal to?

-(√3)/2, -1/2

What fractions/integers does 7π/6 (210°) equal to?

-(√3)/2, -1/2

What fractions/integers does π (180°) equal to?

-1, 0

What fractions/integers does 2π/3 (120°) equal to?

-1/2, (√3)/2

What fractions/integers does 4π/3 (240°) equal to?

-1/2, -(√3)/2

What is a sign identity equal to? For example: What is sin(-x) equal to (same method applies to cos, tan, csc, sec, and cot as well)?

-sin(x)

What fractions/integers does 3π/2 (270°) equal to?

0, -1

What fractions/integers does π/2 (90°) equal to?

0, 1

What is the Pythagorean Identity of csc²(x)?

1 + cot²(x)

What fractions/integers does 2π (360°) equal to?

1, 0

What fractions/integers does π/3 (60°) equal to?

1/2, (√3)/2

What fractions/integers does 5π/3 (300°) equal to?

1/2, -(√3)/2

What is the Reciprocal Identity of sec(x)

1/cos(x)

What is the Reciprocal Identity of csc(x)?

1/sin(x)

What is 330 deg. in radians?

11π/6

What is the Double-Angle Identity of sin2(x)?

2sin(x)cos(x)

What is 360 deg. in radians?

What is 120 deg. in radians?

2π/3

What is 270 deg. in radians?

3π/2

What is 135 deg. in radians?

3π/4

What is 240 deg. in radians?

4π/3

What is 300 deg. in radians?

5π/3

What is 225 deg. in radians?

5π/4

What is 150 deg. in radians?

5π/6

What is 315 deg. in radians?

7π/4

What is 210 deg. in radians?

7π/6


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