Question

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

cos x = sin x

Answer 1

cos(x) = sin(x), and you want to find all the solutions within the given interval of [0, 2π).


Just remember that we can re-write cos(x) = sin(x) as:
cos(x) = sin(x)

tan(x) = 1

Reason why:
sin(x) / cos(x) = tan(x)



And as a result:
tan(x) = 1

where x = π/4 and 7π/4