Question

Express your answer exactly

Answer 1

sin(θ) =
`(3√(13) )/(11)`

Explanation:

See the attachment.

We know that cosine is adjacent divided by hypotenuse. So since cos(θ) = -2/11, then the adjacent is -2 and the hypotenuse is 11.

Sine is opposite divided by hypotenuse. Find the opposite, which is the unlabelled side, by using the Pythagorean Theorem:

x =
`√(11^2-(-2)^2) =√(121-4) =√(117) =3√(13)`

So, sin(θ) =
`(3√(13) )/(11)`

Hope this helps!