![]() ![]() So, if ω is a fixed number and θ is any angle we have the following periods. Period The period of a function is the number, T, such that f (θ + T ) = f (θ ). Hypotenuse opposite hypotenuse sec θ = adjacent adjacent cot θ = opposite csc θ =įacts and Properties Domain The domain is all the values of θ that can be plugged into the function. Tangent and Cotangent Identities sin θ cos θ tan θ = cot θ = cos θ sin θ Reciprocal Identities 1 1 csc θ = sin θ = sin θ csc θ 1 1 sec θ = cos θ = cos θ sec θ 1 1 cot θ = tan θ = tan θ cot θ Pythagorean Identities sin 2 θ + cos 2 θ = 1 yĪdjacent opposite hypotenuse adjacent cos θ = hypotenuse opposite tan θ = adjacent opposite sin hypotenuse q hypotenuse csc opposite q adjacent cos hypotenuse q hypotenuse sec adjacent q opposite tan adjacent q adjacent cot opposite q Unit circle definition For this definition q is any. ![]() Unit circle definition For this definition θ is any angle. Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For this definition we assume that 0 2 p <<q or 0°
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