Question #cb1e2

1 Answer
Feb 25, 2018

Given sin theta =12/13

We know, sintheta= ("opposite side")/("hypotenuse")

Therefore, "opposite side"=12 and "hypotenuse"=13

so the third side, x can be found by applying Pythagoras theorem.

i.e. ("hypotenuse")^2=("opposite side")^2+x^2
x^2=13^2 -12^2 = 169-144 = 25
x=5 units.

Now, costheta=("adjacent side")/("hypotenuse")
costheta=5/13