sin alpha cos beta =1/3, (alpha+beta)=5vi/6, nilai dari sin(alpha-beta)=
Matematika
Vantrinitowindow
Pertanyaan
sin alpha cos beta =1/3, (alpha+beta)=5vi/6, nilai dari sin(alpha-beta)=
1 Jawaban
-
1. Jawaban Anonyme
TriGonoMetRi
sin a cos b = 1/3
a + b = 5/6 π = 5/6 × 180° = 150°
sin (a + b) = sin 150°
sin a cos b + cos a sin b = 1/2
1/3 + cos a sin b = 1/2
cos a sin b = 1/2 - 1/3 = 1/6
sin (a - b)
= sin a cos b - cos a sin b
= 1/3 - 1/6
= 1/6 ✔