Answer:
sin(θ) = [tex]\frac{3\sqrt{13} }{11}[/tex]
Step-by-step 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 = [tex]\sqrt{11^2-(-2)^2} =\sqrt{121-4} =\sqrt{117} =3\sqrt{13}[/tex]
So, sin(θ) = [tex]\frac{3\sqrt{13} }{11}[/tex]
Hope this helps!
