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

asked Feb 23, 2023 10.3k views

14 votes

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

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1 vote

Work Shown:

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

Mugabo answered Mar 1, 2023

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