Question

If sin
(A + B) = 1 = cos (A – B) then​

Answer 1

Answer:

A=B=45

Step-by-step explanation:

here I'm taking a as x and b as y .

here, it is given that

$\sin(x + y) = \cos(x - y) = 1$

so if we write it separately, we get

$\cos(x - y) = 1 \\ \sin(x + y) = 1$

cos gives value of 1 at 0 degrees whereas sin gives value 1 at 90 degrees.

thus

$\cos(x - y) = 1 \\ x - y = 0 \\ x = y...(1) \\ and \\ \sin(x + y) = 1 \\ x + y = 90 \\from \: (1) \\ x + x = 90 \\ x = 45 = y$