Finding exact values for sin, cos, tan, etc.

Question

There is a triangle,

the left outer line | = a

The right outer line \ = c

The bottom line _ = b

Inside the triangle the angle between a & c = B

Inside the triangle the angle between c & b = A

(Inside the triangle the angle between a & b = 90 degrees)

Suppose a = 55 and c =73

Find an exact value (reported as a fraction):

sin(B)

cos(B)

tan(B)

sec(B)

csc(B)

cot(B)

Answer 1

Use the definitions of the six right triangle functions.