If sin ? = 12 over 37, use the pythagorean identity to find cos ? . cos ? = ± 35 over 37 cos ? = ± 23 over 37 cos ? = ± 35 over 12 cos ? = ± 20 over 35

SOH CAH TOA
Lets us know that the Sin of ? Is 12/37; meaning the opposite side is 12, and the hypotenuse is 37. Using the Pythagorean Theorem, we know that 37^2-12^2=B^2 (B being the adjacent side). Once solved, we learn B is 35. Going back to SOH CAH TOA, we know that Cos ?= 35/37; the first option.

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