How to find sin 60 degrees in simplest radical form???

Question

jdoe0001 · Answer

hmm, use your Unit Circle :)

jdoe0001 · Answer

I'd think it'd have it already in a simplified radical form

anonymous · Answer

attachment

anonymous · Answer

All I was taught to do sine, cosine, and tangent with is an online calculator, so when I do sin 60 I get 0.866025403784439 but I have absolutely no idea how to make it a radical...

jdoe0001 · Answer

ok, let's use the pythagorean theorem then, usually in a 60 degrees right-angle
you'd have this kind of relation

anonymous · Answer

how do you use Pythagorean theorem though if you don't have the side lengths?

jdoe0001 · Answer

|dw:1374092488215:dw|

so for the Unit Circle that'd be |dw:1374092551845:dw|

now let's find what the other side is, that is the hypotenuse,
because cosine = opposite/hypotenuse

anonymous · Answer

square root of 5?

jdoe0001 · Answer

no ....

jdoe0001 · Answer

lemme change that for the unit circle, the "Unit" circle can't be more than 1, hold on

jdoe0001 · Answer

|dw:1374092707842:dw|

anonymous · Answer

square root of 1.25?