Question

Given that ΔABC is a right triangle with a right angle at C, if tan A =
`(5)/(4)`, find the value for tan B.

A. tanB =
`(3)/(4)`
B. tanB =
`-(4)/(5)`
C. tanB =
`(4)/(5)`
D. tanB =
`-(5)/(4)`

Answer 1

C

Explanation:

tan A =
`(5)/(4)` =
`(opposite)/(adjacent)` , thus

The opposite side is the adjacent side for B and the adjacent side is the opposite side for B, thus

tan B =
`(4)/(5)`