Buktikan identitas berikut: (1 - cos A) (1+ sec A) = sin A.Tan A
Matematika
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Pertanyaan
Buktikan identitas berikut: (1 - cos A) (1+ sec A) = sin A.Tan A
2 Jawaban
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1. Jawaban DB45
Identitas
(1 - cos A) ( 1 + sec A) = sin A tan A
ruas kiri
(1 - cos A)(1 + sec A) =
= ( 1 - cos A)(1 + 1/cos A)
= 1 + 1/cos A - cos A - 1
= 1/cos A - cos A
= ( 1 - cos²) / cos A
= (sin A. sin A) / cos A
= sin A . (sin A/cos A)
= sin A . tan A -
2. Jawaban Murva
(1 - cos A) (1+ sec A) = sin A.Tan A
(1 - cos A) (1+ 1/cos A) =
(1 - 1/cos A - cosA -1=
(-1 - cos^2 A)/ cos A
(-1- (-1-sin^2 A)/ cos A
(Sin^2 A ) / cos A
Sin A ×sinA / cosA
SinA tanA