Question

in the figure, if cos x =5/13, what are sin x and tan x?

Answer 1

Use SohCahToa. Since cos x = 5/13, the adjacent leg is 5 and the hypotenuse is 13. Using the Pythagorean Theorem, we can find that the vertical leg is 12. This mean that sin x = 12/13, and tan x = 12/5.