Find the exact value of: tan (arccos 8/17)

Answer 1

If arccos = 8/17

adjacent = 8

hypotenuse = 17

Solve for opposite using the Pythagorean theorem.

a²+b²=c²

8²+b²=17²

64+b²=289 Subtract 64 from both sides of the equation

64+b²-64=289-64 Simplify

b²=225 Take the square root of both sides of the equation

√b²=√225

b=15 = opposite

tan = opposite/adjacent

tan = 15/8