Answer: (√2 - √6)/4
Step-by-step explanation:
I am going to use the sum formula: sin(A + B) = sin A cos B + cos A sin B
Let's say A = 135° and B = 30°
sin(135° + 30°) = sin(135°) * cos(30°) + cos (135°) * sin(30°)
= (√2)/2 * 1/2 + (-√2)/2 * (√3)/2
= (√2)/4 + (-√6)/4
= (√2 - √6)/4
