Question

Express your answer exactly

Answer 1

Answer:

sin(θ) = $\frac{3\sqrt{13} }{11}$

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 = $\sqrt{11^2-(-2)^2} =\sqrt{121-4} =\sqrt{117} =3\sqrt{13}$

So, sin(θ) = $\frac{3\sqrt{13} }{11}$

Hope this helps!