Question

if sin (x+y) = cos (x+y ) then find the values of x,y​

Answer 1

Answer:

45°

Step-by-step explanation:

It is given that:

$sin(x+y)= cos(x+y)$

⇒$cos[90 - (x+y)] = cos(x+y)$

Comparing both the angles we get

⇒$90 - (x+y) = x+y$

⇒$90 = (x+y)+(x+y)$

⇒$90 = 2(x+y)$

⇒$45 = x+y$