Question

if sin x = cos y, then x+y = 45 degree,
write true or false​

Answer 1

Property of opposite angles in a right triangle.

As we know,

$\cdots \longrightarrow \cos y=\sin (90^{ \circ }-y).$

The given equation is,

$\cdots \longrightarrow \sin x= \sin (90^ { \circ } -y).$

Let's see the relation of two angles by comparison,

$\cdots \longrightarrow x= 90^ { \circ } -y$

$\cdots \longrightarrow x+y= 90^ { \circ }.$

The statement is false.