Matematika

Pertanyaan

3cos^2=3-3sin^2x

tolong dibantu ya.

1 Jawaban

  • Identitas trigonometri
    [tex] \sin^{2} (x) + \cos^{2} (x) = 1 \\ \cos^{2} (x) = 1 - \sin^{2} (x)[/tex]
    Buktikan
    [tex]3 \cos^{2} (x) = 3 - 3 \sin^{2} (x) \\ 3\cos ^{2} (x) = 3(1 - 1 \sin^{2} (x) ) \\ 3 \cos^{2} (x) = 3(1 - \sin ^{2} (x) ) \\ 3 \cos^{2} (x) = 3( \cos^{2}(x) ) \\ 3 \cos ^{2} (x) = 3 \cos ^{2} (x) [/tex]
    Terbukti
    Semoga dapat dipahami

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