jika Cot alpha=4/3,hitunglah nilai dari (1+sin alpha).(1-sin alpha)/(1+cos alpha).(1-cos alpha)
Matematika
renatha123
Pertanyaan
jika Cot alpha=4/3,hitunglah nilai dari (1+sin alpha).(1-sin alpha)/(1+cos alpha).(1-cos alpha)
1 Jawaban
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1. Jawaban dharmawan14
cot a = 4/3
cot a = x/y
r = V(4^2 + 3^)
r = V(16+9)
r = V25
r = 5
cos a = 4/5
(1+sin a)(1-sin.a)/(1+cos a)(1-cos a)
= (1 - sin^2 a ) / (1 - cos^2 a)
= cos^2 a / (1 - cos^2 a)
= (4/5)^2 / (1 - 4/5^2)
= 16/25 / (1- 16/25)
= (16/25) / (9/25)
= 16/9
= 1 7/9