Jika (sin a + cos b) = 3/2 dan (cos a-sin b)=1/2 , maka sin (a-b)=..
MathSolver74
(sin a + cos b)² = (3/2)² ⇒ sin²a + cos²b + 2 sin a cos b = 9/4 (cos a - sin b)² = (1/2)² ⇒ cos²a + sin²b - 2 cos a sin b = 1/4 _____________________________ + 1 + 1 + 2(sin a cos b - cos a sin b) = 5/2 2(sin (a - b)) = 5/2 - 2 sin (a - b) = 1/4
(cos a - sin b)² = (1/2)² ⇒ cos²a + sin²b - 2 cos a sin b = 1/4
_____________________________ +
1 + 1 + 2(sin a cos b - cos a sin b) = 5/2
2(sin (a - b)) = 5/2 - 2
sin (a - b) = 1/4