Jika A-B=30 derajat dan cos A sin B = 1/6. Maka nilai dari sin(A+B)= Tolong bantu yaaa

trigonomteri

sin (A-B) = sin A cos B- cos A sin B
sin 30 = sin A cos B - 1/6
1/2 = sin A cos B - 1/6
sin A = 1/6 + 1/2 =2/3

sin(A+B) = sin A cos B + cos A sin B
sin (A+B) = 2/3 + 1/6
sin (A+B) = 5/6

A - B = 30° => sin (A - B) = sin 30° = 1/2

2 cos A sin B = sin (A + B) - sin (A - B)
2 . 1/6 = sin (A + B) - 1/2
1/3 + 1/2 = sin (A + B)
sin (A + B) = 5/6