buktikan kebenaran identitas cot2m=sin m-sin 3m/cos 3m-cos m
Matematika
rahmayani162210
Pertanyaan
buktikan kebenaran identitas cot2m=sin m-sin
3m/cos 3m-cos m
3m/cos 3m-cos m
1 Jawaban
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1. Jawaban arsetpopeye
(sin m - sin 3m) / (cos 3m - cos m)
= (2 cos (m + 3m)/2 sin (m - 3m)/2) / (-2 sin (3m + m)/2 sin (3m - m)/2)
= (2 cos 2m sin (-m)) / (-2 sin 2m sin m)
= (-2 cos 2m sin m) / (-2 sin 2m sin m)
= (cos 2m)/(sin 2m)
= cot 2m