Tolong jawab soal no9,10 ini
Matematika
HusnulHabibie31
Pertanyaan
Tolong jawab soal no9,10 ini
1 Jawaban
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1. Jawaban arsetpopeye
10) (cot x + cos x)/(1 + sin x)
= ((cos x)/(sin x) + cos x)/(1 + sin x) . (sin x)/(sin x)
= (cos x + sin x cos x)/(1 + sin x)(sin x)
= cos x (1 + sin x) / (1 + sin x)(sin x)
= (cos x)/(sin x)
= cot x
9) kemungkinan no 9 salah soal seharusnya soalnya
1/(cosec A - cot A)
= 1/(1/(sin A) - (cos A)/(sin A))
= 1/((1 - cos A)/(sin A))
= (sin A)/(1 - cos A) . (1 + cos A)/(1 + cos A)
= (sin A)(1 + cos A)/(1 - cos^2 A)
= (sin A)(1 + cos A)/(sin^2 A)
= (1 + cos A)/(sin A)
= 1/(sin A) + (cos A)/(sin A)
= cosec A + cot A