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LekaFEV [45]
3 years ago
13

Express your answer exactly

Mathematics
1 answer:
Inessa [10]3 years ago
3 0

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!

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