Trig Identity proofs

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6 Terms

1
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Reciprocal identities

cscθ = 1/ sinθ, secθ = 1/ cosθ, cot θ = 1/ tanθ

2
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Pythagorean Identities

sin2 θ + cos2 θ= 1, tan2 θ + 1 = sec2θ, 1 + cot2θ = csc2 θ

3
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Quotient(Ratio) Identities

tanθ = sinθ / cosθ, cot = cosθ / sinθ

4
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Even Odd Identities

sin(-θ) = -sinθ, cos(-θ) = cosθ, tan(-θ)= -tanθ

5
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Right Triangle Ratios(1)

sinθ = opp/hyp = y/r, cosθ = adj/hyp= x/r, tanθ = opp/adj = y/x

6
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Unit Circle Ratios

sinθ = y, cosθ = x, tanθ = y/x, cscθ = 1/y, secθ = 1/x, cotθ = x/y