mwheatabix mwheatabix
  • 19-06-2022
  • Mathematics
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Make cos C the subject of the formula
C?= a? + b? - 2ab cos C

Make cos C the subject of the formula C a b 2ab cos C class=

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jimthompson5910 jimthompson5910
  • 19-06-2022

Answer:  Choice E

Work Shown:

[tex]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) = \frac{a^2 + b^2 - c^2}{2ab}}\\\\[/tex]

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