Question

Evaluate the expression. Question 9 options: A) tan π∕56 B) tan 17π∕56 C) –tan 17π∕56 D) –tan π∕56

Answer 1

A

Explanation:

Note the expansion

tan(a - b) =
`(tana-tanb)/(1+tanatanb)`

We are given the right side of the expansion , then left side is

tan(
`(\pi )/(7)` -
`(\pi )/(8)` )

= tan(
`(8\pi -7\pi )/(56)` )

= tan (
`(\pi )/(56)` ) → A