This is a draft cheat sheet. It is a work in progress and is not finished yet.
Quadrant 1 Values
Angle |
2π or 0°/360° |
π/6 or 30° |
π/4 or 45° |
π/3 or 60° |
π/2 or 90° |
Cosine |
1 |
√3/2 |
√2/2 |
1/2 |
0 |
Sine |
0 |
1/2 |
√2/2 |
√3/2 |
1 |
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Unit Circle Measurements
Area |
πr2 |
Diameter |
2r |
Circumfrence |
2πr or πd |
Arc Length |
θr |
Period Repeating Function |
f(x + P) = f(x) |
r = radius
d = diameter
θ = angle in radians
P = period (smallest interval)
Degrees & Radians
Degrees to Radians |
θ•π/180 |
Radians to Degrees |
θ•180/π |
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Sin Cos Tan
Sine |
Opposite/Hypotenuse |
Cosine |
Adjacent/Hypotenuse |
Tangent |
Opposite/Adjacent |
Cosecant, Secant, Cotangent
Cosecant |
Hypotenuse/Opposite |
Secant |
Hypotenuse/Adjacent |
Cotangent |
Adjacent/Opposite |
Unit Circle Values
Sine |
y |
Cosine |
x |
Tangent |
y/x |
Cosecant |
1/y |
Secant |
1/x |
Cotangent |
x/y |
Identities
sin2θ + cos2θ = 1 |
1 + tan2θ = sec2θ |
1 + cot2θ = csc2θ |
Evens & Odds
Even |
f(-x ) = f(x) | Cos & Sec |
Odd |
f(-x ) = -f(x) | Sin Tan Csc Cot |
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Supplementary & Complementary Angles
Supplementary Angles |
Add to 180° |
Complementary Angles |
Add to 90° |
Quadrantal Angles
45° or (π/4) ∴ y=x
x2 + y2 = 1
x2 + x2 = 1
2x2 = 1
x2 = 1/2
x = ± 1/√2
in Q1 x = 1/√2
cos & sin = 1/√2 • √2/√2 = √2/2
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