Jika theta di kuadran 1 dan tan theta = 5/12, nilai tan 4theta / 5 =....
Matematika
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Jika theta di kuadran 1 dan tan theta = 5/12, nilai tan 4theta / 5 =....
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1. Jawaban Anonyme
jwab
theta = t
tan t = 5/12
tan 2t = (2 tan t) / ( 1 - tan² t) =(10/12) / (1- (25/144))
= 12(10)/) ( 144 -25)
= 120 /119
tan 4t = 2 tan 2t / 1 - tan² 2t)
= 2 (120/119) / ( 1 - (120/119)²
= 2(120)(119) /(119²-120²)
= 28.560 / -239 = -119,5
(tan 4t)/ 5 = -23,9