Pertanyaan

Bentuk sederhana dari 1 + tan 2 x 2 tan x adalah....

Bentuk sederhana dari $\frac{2 tan x}{1 + tan ^{2} x}$ adalah....

sin x
cos x
sin 2x
cos 2x

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

H. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 tan space x over denominator 1 plus tan squared x end fraction end cell equals cell fraction numerator open parentheses 2 fraction numerator sin space x over denominator cos space x end fraction close parentheses over denominator open parentheses 1 plus fraction numerator sin squared x over denominator cos squared x end fraction close parentheses end fraction end cell row blank blank blank row blank equals cell fraction numerator open parentheses fraction numerator 2 space sin space x over denominator cos space x end fraction close parentheses over denominator open parentheses fraction numerator cos squared x plus sin squared x over denominator cos squared x end fraction close parentheses end fraction end cell row blank blank blank row blank equals cell fraction numerator 2 space sin space x over denominator cos space x end fraction space. space fraction numerator cos squared x over denominator 1 end fraction end cell row blank equals cell fraction numerator 2 space sin space x over denominator up diagonal strike cos space x end strike end fraction space. space up diagonal strike cos squared x end strike to the power of cos space x end exponent over 1 end cell row blank equals cell 2 sin space x space cos space x end cell row blank equals cell sin space 2 x end cell end table$