Question

If sin(a+b)= √3/2 =cos(a-b) and a,b are acute angles​

Answer 1

Answer:

$a = 45 \\ \\ \\ b = 60 - 45 = 15$

Step-by-step explanation:

$therefore \: \: \: \: \: a + b = 60 \: \: \: \: and \: \: \: \: a - b = 30 \\ \\ \: \: \: \\ \\ a + b + a - b = 60 + 30 \\ \\ 2a = 90 \\ \\ a = \frac{90}{2} \\ \\ a = 45 \\ \\ \\ b = 60 - 45 = 15$