Jika sin a=3/5 dan cot b=24/7 maka sin(a-b)=
Matematika
wahyudison
Pertanyaan
Jika sin a=3/5 dan cot b=24/7 maka sin(a-b)=
1 Jawaban
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1. Jawaban ahreumlim
sin a = 3/5
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5² - 3² = 16
= 4²
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maka cos a = 4/5
cot b = 24/7
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24² + 7² = 625
= 25²
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maka
cot b = 1/tan b
tan b = 7/24
sin b = 7/25
cos b = 24/25
sin(a - b)
= sin a . cos b - cos a . sin b
= (3/5) (24/25) - (4/5) (7/25)
= (72/125) - (28/125)
= 44/125