Jika tan x=½√3 kemudian tan (x-30)
Matematika
Rafliosis797
Pertanyaan
Jika tan x=½√3 kemudian tan (x-30)
1 Jawaban
-
1. Jawaban Syahrudi
[tex] \tan(x - 30) = \frac{ \tan(x) - \tan(30) }{1 + \tan(x) \tan(30) } \\ = \frac{ \frac{1}{2} \sqrt{3} - \frac{1}{3} \sqrt{3} }{1 - \frac{1}{2} \sqrt{3} \times \frac{1}{3} \sqrt{3} } \\ = \frac{ \frac{1}{6} \sqrt{3} }{1 - \frac{1}{6} \times 3 } \\ = \frac{ \frac{1}{6} \sqrt{3} }{ \frac{1}{2} } \\ = \frac{1}{3} \sqrt{3} [/tex]