Question

I need help solving this problem

Answer 1

sin s = -
`(5)/(13)`

Explanation:

Given

tan s =
`(5)/(12)` =
`(opposite)/(adjacent)`

Then this is a 5- 12- 13 right triangle with hypotenuse = 13

Since tan s > 0 and cos s < 0

Then s is in the third quadrant where sin s < 0

sin s =
`(opposite)/(hypotenuse)` = -
`(5)/(13)`

Answer 2

- 5/13

Explanation:

tans = 5/12 = height/base

Using Pythagoras, hypotenuse = √12² + 5² = 13

Therefore coss had to be 12/13

But since cos s < 0, cos s = - 12/13

Thus,

tanA = sinA/cosA

tanA cosA = sinA

(5/12)(- 12/13) = sinA

- 5/13 = sinA