Question

Sin =9/15 . Find tan 0

Answer 1

Answer:

c. 9/12

Step by step explanation.

Given: sin = 9/15

and,

$sin = \frac{opp.}{hyp.}$

$tan = \frac{opp.}{adj.}$

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