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1 Jawaban
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1. Jawaban Kilos
2(sinx.cos(2x))/(cosx.sin(2x)) - 5tanx + 5 = 0
2(tanx.cotan(2x)) - 5tanx + 5 = 0
2tanx.(1/tan(2x)) - 5tanx + 5 = 0
2tanx/(tan(2x)) - 5tanx + 5 = 0
2tanx/(2tanx/(1 - tan²x)) - 5tanx + 5 = 0
2tanx(1 - tan²x)/(2tanx) - 5tanx + 5 = 0
1 - tan²x - 5tanx + 5 = 0
-tan²x - 5tanx + 6 = 0
tan²x + 5tanx - 6 = 0
(tanx + 6)(tanx - 1) = 0
tan(x1) = -6, tan(x2) = 1
tan(x1 + x2) = (tan(x1) + tan(x2))/(1 - tan(x1)tan(x2))
= (-6 + 1)/(1 - (-6)(1))
= -5/(1 + 6)
= -5/7