jika sin A . cos B = 1/5 dan sin(A-B) = 3/2 serta A di kw 2, B di kw 1, maka nilai sin(A+B) MTK. P
Matematika
masfaridz
Pertanyaan
jika sin A . cos B = 1/5 dan sin(A-B) = 3/2 serta A di kw 2, B di kw 1, maka nilai sin(A+B)
MTK. P
MTK. P
1 Jawaban
-
1. Jawaban Anonyme
TriGonoMetRi
sin A cos B = 1/5
sin (A - B) = 3/2
sin A cos B - cos A sin B = 3/2
1/5 - cos A sin B = 3/2
cos A sin B = 1/5 - 3/2 = (2 - 15)/10 = -13/10
sin (A + B)
= sin A cos B + cos A sin B
= 1/5 + (-13/10)
= (2 - 13)/10
= -11/10 ✔