In right triangle ABC with right angle at C, find sin A, cos A and tan A, if side a = 8, side b = 15 and side c = 17.
sin A=
cos A=
tan A=
see the attached figure to better understand the problem
step 1
Find sin(A)
sin(A)=BC/AB ------> opposite side divided by the hypotenuse
substitute given values
sin(A)=8/17
step 2
Find cos(A)
cos(A)=AC/AB -----> adjacent side divided by the hypotenuse
substitute
cos(A)=15/17
step 3
Find tan(A)
tan(A)=BC/AC ---> opposite side divided by the adjacent side
tan(A)=8/15