Write the correct ratio for each trig function. Be sure to simplify your fractions. sin x =??

cos x =??

tan x =??

These are the options for all three: 5/13, 12/5, 12/13, 5/12, 13/5, 13/12.

sin x = 36/39 = 12/13cos x =15/39 = 5/13tan x = 36/15 = 12/5

Given :-

In this triangle,

Base ( B ) = 15 Hypothenuse ( H ) = 39 Perpendicular ( P ) = 36Find :-

sin x = ?

cos x = ?

tan x = ?

Solution :-

sin x = Perpendicular / Hypothenuse

= 36 / 39 = 12 /13

cos x = Base / Hypothenuse

= 15 / 39 = 5/13

tan x = Perpendicular / Base

= 36 /15 = 12 / 5

To find this answer I watched a Video called is side length & area proportional? by Khan Academy this is a very good website I use a lot!
The answer is non proportional I believe because the side length is x, so is the other side lengths because in a desire side lengths are all equal and to find area you do x squared or x times x. So they are not proportional because there will be different numbers for each. Ex. X= 2, area ( x squared ) is 4.