Question

If tan x = 12/5 and cos x < 0, what is sin x ?

Answer 1

Draw a right triangle with an acute angle labeled x, with the opposite side 12 and the adjacent side 5. Now you have an angle with tangent 12/5. Find the length of the hypotenuse and use that along with the other dimensions to find the sine, keeping in mind that they've told you the cosine is negative and the tangent is positive.

Answer 2

so would it be -12/13