buktikan identitas pythagoras berikut : cos²A ( 1+ tan² A ) = 1
Matematika
Ihsan97
Pertanyaan
buktikan identitas pythagoras berikut :
cos²A ( 1+ tan² A ) = 1
cos²A ( 1+ tan² A ) = 1
2 Jawaban
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1. Jawaban kekkaiisshi
[tex]cos^{2} x (1 + tan^{2} x) = 1 \\ cos^{2} x (1 + \frac{sin^{2}x}{cos^{2}x} ) = 1 \\ cos^{2} x + sin^{2} x = 1 \\ 1 = 1 terbukti[/tex] -
2. Jawaban Ghinashoda
cos²A ( 1+ tan² A ) = cos²A(cos²A/cos²A + sin²A/cos²A)
= cos²A(cos² A+ sin²A)
cos²A
= cos²A + sin²A
= 1 (terbukti)