Question

(cos45°+sin45°)^2 + (sin 45°- cos 45°)^2

Answer 1

Step-by-step explanation:

(cos45°+sin45°)^2 + (sin 45°- cos 45°)^2

=cos^2 45 + sin^2 45 + 2(cos45)(sin45) + cos^2 45 + sin^2 45 - 2(cos45)(sin45)

=1 + 2(cos45)(sin45) - 2 cos45)(sin45)

= 1