Question

Find the exact value of cos(arcsin(1/4)). For full credit, explain your reasoning.

Answer 1

do you know that cos(arccos(x)) = x?

Answer 2

what? lol

Answer 3

do you know this?

Answer 4

nooooo

Answer 5

this is a rule ok?

Answer 6

okay so what does that mean? that it's 1/4?

Answer 7

wait but no it's arcsin not arccos

Answer 8

so now u convert arcsin to arccos

Answer 9

idk how to do that

Answer 10

if the sine of an angle is 1/4 whatll be the cosine of that angle?

Answer 11

okay i dont know can you just show me how to do it lol

Answer 12

\[ \sin^{-1}(1/4)=x \] we make arcsin equal to some number x