Question

Sin =9/15 . Find tan 0

Answer 1

c. 9/12

Step by step explanation.

Given: sin = 9/15

and,

`sin = (opp.)/(hyp.)`

`tan = (opp.)/(adj.)`

thus, find adj. side

by using Pythagoras theorem

`{c }^(2) = {a}^(2) + {b}^(2)`

then,

let adj. side be a^

`{a}^(2) = {c}^(2) - {b }^(2) \\ {a}^(2) = {15 }^(2) - {9}^(2) \\ {a}^(2) = 144 \\ a = 12`

thus,

adj. side is 12

then,

tan of the angle = 9/12