Buktikan identitas berikut: (1 - cos A) (1+ sec A) = sin A.Tan A
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Pertanyaan
Buktikan identitas berikut: (1 - cos A) (1+ sec A) = sin A.Tan A
1 Jawaban
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1. Jawaban nasril7
(1 - cos A) (1 + sec A) = sin A.tan A
1 + sec A - cos A - cos A.sec A =
1 - cos A + sec A (1 - cos A) =
1 - cos A + 1/cos A(1 - cos A) =-
1 - cos A + 1/cos A - 1 =
- cos A + 1/cos A =
(-cos ^2A + 1)/cos A =
(sin^2A - 1 +1)/cos A =
sin^2A./cos A =
sin A. sin A/cos A = sin A.tan A (terbukti)
(-cos^2 A + 1)/cos A =
{siz^2A - 1 +1)/cos A