Question

If sin x = cos y, then x + y = 45° ; write true of false

Options

• True

• False

Answer 1

sin x = cosy = sin`(x/2 – y )`

if x and y are acute angles,

x = `(x)/(2) – y`

x + y = `(x)/(2)`

∴ x + y = 45° is false.