Question

find sin theta if (12,-5) is a point on the terminal side of theta.

Answer 1

only need the hypotenuse of the triangle. pythagoras should give you 13

Answer 2

\[\sqrt{5^2+12^2}=\sqrt{25+144}=\sqrt{169}=13\] then take the appropriate ratios to find all the trig functions of theta

Answer 3

-5/13 or 12/13?

Answer 4

Which one? Think about what the sine ratio means.

Answer 5

Hint: opposite side over hypotenuse