Example 3

Find the exact values of the six trigonometric functions for `angleB` Solution: Using the Pythagorean Theorem, we have `AB = sqrt(6^2+8^2) = sqrt(36 + 64)=sqrt(100) =10` `sin angleB = 8/10 =4/5` `cos angleB = 6/10 =3/5` `tan angleB = 8/6 =4/3` `csc angleB = 10/8 =5/4` `sec angleB = 10/6 =5/3` `cot angleB = 6/8 =3/4`