Brianna S.

asked • 05/03/15

What is the sine of theta?

The point (-2, -3) is on the terminal side of theta in standard position. What is the sine of theta?

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Mark M. answered • 05/03/15

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Draw a diagram.
 
The hypotenuse (by Pythagoras) is √13.
 
sinθ = -3√13
sinθ = -3√13 / 13
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Brianna S.

I don't understand, so is the answer -3√13 /13?
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05/04/15

Mark M.

The two sides are 2, and 3. Therefore the hypotenuse is √13.
Sin is y value over hypotenuse.
Rationalize denominator.
 
(-3√13) / 13
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05/04/15

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