Question

Question

Given that tan(0) =5/12
and 0 is in Quadrant III. what is cos(0)? Write your answer in exact form. Do not round.
Provide your answer below:

Answer 1

cosΘ = -
`(12)/(13)`

Explanation:

Given that Θ is in the third quadrant then cosΘ < 0

Given

tanΘ =
`(5)/(12)` =
`(opposite)/(adjacent)`

Then 5 and 12 are the legs of a right triangle (5- 12- 13 ) with hypotenuse = 13

Thus

cosΘ = -
`(adjacent)/(hypotenuse)` = -
`(12)/(13)`