Question

write the trigonometric expression as an algebraic expression.
sin (arccos x + arcsin x)

Answer 1

i got to
(sin arccos x) x + (cos arcsin x) x

Answer 2

to find sin(arccos(x)), remember that sin^2+cos^2=1, so sin(arccos(x))=sqrt(1-cos(arrcos(x))^2). cos(arcsin(x)) can be found similarly.

Answer 3

thus sin(arccos(x))=cos(arcsin(x))=sqrt(1-x^2)