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Tunjukkanlah kesamaan-kesamaan trigonometri berikut! 1 − cos 2 6 0 ∘ = sin 2 6 0 ∘

Tunjukkanlah kesamaan-kesamaan trigonometri berikut!

$1 - cos^{2} 6 0^{\circ} = sin^{2} 6 0^{\circ}$

A. Armanda

Master Teacher

Mahasiswa/Alumni Universitas Indraprasta PGRI

Jawaban terverifikasi

Pembahasan

Jadi, terbukti bahwa .

$begin mathsize 14px style 1 minus cos squared space 60 degree equals 1 minus open parentheses 1 half close parentheses squared 1 minus cos squared space 60 degree equals 1 minus 1 fourth 1 minus cos squared space 60 degree equals fraction numerator 4 minus 1 over denominator 4 end fraction 1 minus cos squared space 60 degree equals 3 over 4 1 minus cos squared space 60 degree equals open parentheses fraction numerator square root of 3 over denominator 2 end fraction close parentheses squared 1 minus cos squared space 60 degree equals sin squared space 60 degree end style$

Jadi, terbukti bahwa .