Question

Question #cb1e2

Answer 1

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`