Pertanyaan

Jika tan x = 2 1 dan x sudut lancip, maka nilai dari tan3x adalah...

Jika $tan x = \frac{1}{2}$ dan x sudut lancip, maka nilai dari tan3x adalah...

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$tanx equals 1 half tan space 3 straight x equals fraction numerator 3 tanx space minus space tan 3 straight x over denominator 1 minus 3 tan squared straight x end fraction equals fraction numerator 3 open parentheses begin display style 1 half end style close parentheses minus open parentheses begin display style 1 half end style close parentheses squared over denominator 1 minus 3 open parentheses begin display style 1 half end style close parentheses squared end fraction equals fraction numerator begin display style 3 over 2 end style minus begin display style 1 over 8 end style over denominator 1 minus begin display style 3 over 4 end style end fraction equals fraction numerator begin display style fraction numerator 12 minus 1 over denominator 8 end fraction end style over denominator begin display style fraction numerator 4 minus 3 over denominator 4 end fraction end style end fraction equals fraction numerator begin display style 11 over 8 end style over denominator begin display style 1 fourth end style end fraction equals 11 over 8 straight x 4 over 1 equals 11 over 2 equals 5 1 half$