Question

How do you verify `(cosx - sinx) ^ 2 + 2 sinx cosx = 1`?

Answer 1

Below.

Explanation:

`"left side"`

`= cos^2x - 2sinxcosx + sin^2x + 2sinxcosx`

`= cos^2x + sin^2x`

`= 1`

`=` `"right side"`