Consider triangle abc, where angle c is a right angle. given that cos(a) < sin(a) , select all the angle measure(s) for angle a that would make a true statement.

question 3 options:

10 degrees

65 degrees

45 degrees

30 degrees

85 degrees

70 degrees

Cos 0º=1                           sin 0º=0
cos 45º=√2 / 2                  sin 45º=√2 / 2
cos 90º=0                         sin 90º=1

Therefore, if cos (A)< sin (A), then A>45º.

Given that cos (A)<sin(A), the angle measures for Angle A that would make a true this statement will be: 

65 degrees
70 degrees
85 degrees.