SOLUTION: If tan 𝑋 = 15 112 , find sin X and cos X , in fraction form.

Algebra ->  Pythagorean-theorem -> SOLUTION: If tan 𝑋 = 15 112 , find sin X and cos X , in fraction form.      Log On


   



Question 1187880: If tan 𝑋 =
15
112
, find sin X and cos X , in fraction form.

Answer by ikleyn(52943) About Me  (Show Source):
You can put this solution on YOUR website!
.

With the given data  tan(x) = 15%2F112,   you may think that

the opposite leg is  15  units long, while the adjacent leg is  112 units long.


Then you calculate the hypotenuse using Pythagoras


    hypotenuse = sqrt%2815%5E2%2B112%5E2%29 = 113.


Having it,  sin(x) = 15%2F113,  cos(X) = 112%2F113.    ANSWER

Solved.