Question

Find all solutions in the interval [0, 2π).

cos x = sin x

Answer 1

both of these are equal at theta= pi/4

Answer 2

sinx=cosx
then tanx=1
hence x=pi/4 and 5pi/4

Answer 3

now find those pi/4 s in 0 to 2 pi

Answer 4

general sol. is n(pi) + pi/4 where n is an integer