Question

Determine the exact value: cos(sin^-1(1/2))

Answer 1

i will draw you a picture

Answer 2

Thanks that'd be great

Answer 3

i always find it useful to draw a right triangle to do these problems

Answer 4

draw a triangle. put one angle as theta say. then using "opposite over hypotenuse" put opposite as 1 and hypotenuse as 2. find that the third side is
\[\sqrt{3}\] by pythagoras so
\[\cos(\theta)=\frac{\sqrt{3}}{2}\]

Answer 5

do you see how i found the missing side
i used the pythagoren thm

Answer 6

thats a beautiful triangle

Answer 7

don't make fun of my triangle

Answer 8

that is method one. method two is to say
\[\sin^{-1}(\frac{1}{2})=\frac{\pi}{6}\] and
\[\cos(\frac{\pi}{6})=\frac{\sqrt{3}}{2}\]

Answer 9

lol

Answer 10

a picture is worth a thousand ships.

Answer 11

That really helps actually. You wouldn't happen to have the full chart handy would you?? I have like 6 more problems with sin/cos/tan

Answer 12

the unit circle?

Answer 13

you can find some pretty unit circles online

Answer 14

yes that's what it's called! i couldn't remember. but i couldn't search it till i knew what it was, so thanks lol

Answer 15

np :)

Answer 16

here is a nice one

Answer 17

got all the stuff. unit circle on last page

Answer 18

i was kidding