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

Answer:

cosΘ = - $\frac{12}{13}$

Step-by-step explanation:

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

Given

tanΘ = $\frac{5}{12}$ = $\frac{opposite}{adjacent}$

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

Thus

cosΘ = - $\frac{adjacent}{hypotenuse}$ = - $\frac{12}{13}$