Buktikan Cos alfa/1-sin alfa - cos alfa/1 + sin alfa = 2 tan alfa
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Buktikan Cos alfa/1-sin alfa - cos alfa/1 + sin alfa = 2 tan alfa
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1. Jawaban Anonyme
jawab
alpha = a
( cos a)/(1 - sin a) - (cos a)/(1 + sin a) = 2 tan a
(cos a) / (1 - sin a) - (cos a)/(1 + sin a) =
= {cos a(1 + sin a) - {cos a (1 -sin a)} / (1-sin a)(1+sin a)
= (cos a + sin a cos a - cos a + sin a cos a)/(1- sin² a)
= (2 sin a cos a )/(cos² a)
= 2 sin a/cos a . cos a/cos a
= 2 tan a (1)
= 2 tan a