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Verified answer
Mapel : MatematikaTingkat : SMA
Bab : Himpunan , Trigonometri
Pembahasan :
6||
A = {a,b,c,d,e,f,g,h} = 8
Yang memiliki 3 elemen ?
= 8C3
= 8!/(8 - 3)!3!
= 8!/5!3!
= (8 x 7 x 6)/6
= 56
8||
Sin A = 3/5
Cos A = √[5² - 3²]/5 = (√16)/5 = 4/5
Cos B = 1/2 √3
Cos B = Cos 30°
B = 30°
Sin B = Sin 30°
Sin B = 1/2
Sin (A + B)
= Sin A Cos B + Cos A Sin B
= (3/5) (1/2 √3) + (4/5) (1/2)
= 3/10 √3 + 4/10
= (3√3 + 4)/10
= 1/10 (3√3 + 4)