Question

$\sin x=\cos y$ and angle $x$ and angle $y$ are acute. then what is the relation between $x$ and $y$?

• A. $x-y=\pi /2$
• B. $x+y=3\pi /2$
• C. $x+y=\pi /2$
• D. $x-y=3\pi /2$

Answer 1

Answer: (C)

$x+y=\pi /2$

As angles are acute & sinx = cosy = sin(90°-y)

Hence x = 90°-y or x+y = π/2