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Learn more about Learn Trig.

Side Names

Name a triangle's sides relative to an angle.

Functions

Define trig functions as ratios.

Sine

Dive deeper into sine's origin.

Find Ratios

Match trig functions with ratios of sides.

Unit Circle

Pair angles with values of radians, degrees, sine, and cosine.

What does Trigonometry mean?

Since "Tri" means three, "Gon" means angle, and "Metry" means measurements, trigonometry means triangular measurements.

Cheat Sheet

Trig Ratios

Sin = Opp/Hyp
Cos = Adj/Hyp
Tan = Opp/Adj
Csc = Hyp/Opp
Sec = Hyp/Adj
Cot = Adj/Opp

Negative Angles

Sin(-Θ) = -Sin(Θ)
Cos(-Θ) = Cos(Θ)
Tan(-Θ) = -Tan(Θ)

Reciprocals

Sin = 1/Csc
Cos = 1/Sec
Tan = 1/Cot
Csc = 1/Sin
Sec = 1/Cos
Cot = 1/Cot

Squared Identities

Sin2Θ + Cos2Θ = 1
Tan2Θ + 1 = Sec2Θ
Cot2Θ + 1 = Csc2Θ

± Formulas

Sin(Θ ± π) = Sin(Θ)Cos(π) ± Cos(Θ)Sin(π)

Sin(Θ ± π) = Cos(Θ)Cos(π) ∓ Sin(Θ)Sin(π)

Tan(Θ) ± Tan(π)
Tan(Θ ± π) = ----------------
1 ∓ Tan(Θ)Tan(π)

Coterminal Angles

Θ = Θ * 2π * (± C)

(C is any Integer)