Question

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

Answer 1

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.

Answer: 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.