Question

how do i find sin(arccos1/4) ?

Answer 1

think of the definition of cosine; what triangle does this correspond to?

Answer 2

ive never solved any by drawing a triangle, do u mean use the Pythagorean thereom so I have the values of x y and r?

Answer 3

exactly
cosine = adjacent/hypotenuse
so what does our triangle look like?

Answer 4

like that ??

Answer 5

perfect, now what's the sine?

Answer 6

well ik sine is y/r so itd be sq rt of 15 over 4

Answer 7

bingo :)

Answer 8

bbut how does that help me solve sin(arccos1/4) ? or is that the answer haha

Answer 9

yes, that's the answer
arccos(1/4) is this angle right here:so the sine of that angle is just opposite over hypotenuse :)