Suppose that sin(t)=7/25 and is in the first quadrant. Find cos(t).
sin(t) = OPP/HYP
So, let OPP = 7 and HYP = 25
By Pythagoras; theorem,. HYP^2 = OPP^2 + ADJ^2
i.e. 25^2 = 7^2 + ADJ^2
625 = 49 + ADJ^2
ADJ^2 = 625 - 49 = 576 = 24^2
Therefore, ADJ = 24
cos(t) = ADJ/HYP = 24/25
Answer: cos(t) = 24/25