The point P on the circle x2 + y2 = r2 that is also on the terminal side of an angle θ in standard position is given. Find the i

Question

3 years ago

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The point P on the circle x2 + y2 = r2 that is also on the terminal side of an angle θ in standard position is given. Find the i

ndicated trigonometric function.
(3, 4) Find sin θ.

the answer options are attached, if you could show the work or formula that would be great Thanks!

Mathematics

1 answer:

Brut [27] · Answer 1 · 2022-08-21T06:09:36+03:00

Okay so you do not really need the circle equation. if you make a triangle with it's x length as 3 and it's y length as 4, you will be able to find the third length. Do Pythagorean theorem to find the hypotenuse.
the hypotenuse will be five after you calculate it.

sin is opposite over hypotenuse or Y over R

so... the sin is 4/5

make sure you know what quadrant your triangle is in for the negatives