Pertanyaan

Bila sin x + cos x = a , maka sin 4 x + cos 4 x = ...

Bila $sin x + cos x = a$ , maka $sin^{4} x + cos^{4} x = ...$

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

maka

$sin space x plus cos space x space equals a space rightwards arrow left parenthesis d i k u a d r a t k a n right parenthesis open parentheses sin space x plus cos space x space equals a close parentheses squared sin squared space x plus 2 sin space x. cos space x plus cos squared space x equals a squared sin squared space x plus cos squared space x plus 2 sin space x. cos space x equals a squared space rightwards arrow left parenthesis I n g a t factorial space sin squared space x plus cos squared space x equals 1 right parenthesis 1 plus 2 sin space x. cos space x equals a squared 2 sin space x. cos space x equals a squared minus 1 sin space x. cos space x equals fraction numerator a squared minus 1 over denominator 2 end fraction$

maka

$sin to the power of 4 space x plus cos to the power of 4 space x equals open parentheses sin squared space x close parentheses squared plus open parentheses cos squared space x close parentheses squared equals open parentheses sin squared space x plus cos squared space x close parentheses squared minus 2 space sin squared space x space cos squared space x equals open parentheses 1 close parentheses squared minus 2 open parentheses sin space x. cos space x close parentheses squared equals 1 minus 2 open parentheses fraction numerator a squared minus 1 over denominator 2 end fraction close parentheses squared equals 1 minus open parentheses a squared minus 1 close parentheses squared over 2$