cos A -24/25 dimana A dikuadran 3 . hitung nilai cos 2A ?
Matematika
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Pertanyaan
cos A -24/25 dimana A dikuadran 3 . hitung nilai cos 2A ?
1 Jawaban
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1. Jawaban dnnyz07
Trigonometri
cos A = -24/25 , negatif krn kuadran 3
x = 24
r = 25
y = √25² - 24² = 7
sin A = y/r
= 7/25
= -7/25 , negatif krn kuadran 3
cos 2A
= cos² A - sin² A
= (cos A + sin A)(cos A - sin A)
= (-24/25 + (-7/25))((-24/25) - (-7/25))
= (-31/25)(-17/25)
= 527/625