Make cos C the subject of the formula C?= a? + b? - 2ab cos C

Yastanub asked Sep 5, 2023

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18 votes

Make cos C the subject of the formula
C?= a? + b? - 2ab cos C

Yastanub asked Sep 5, 2023

2.7k points

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14 votes

Work Shown:

$c^2 = a^2 + b^2 - 2ab\cos(C)\\\\c^2 + 2ab\cos(C) = a^2 + b^2\\\\2ab\cos(C) = a^2 + b^2 - c^2\\\\\boldsymbol{\cos(C) = (a^2 + b^2 - c^2)/(2ab)}\\\\$

Tom Clift answered Sep 11, 2023

2.9k points

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