Question

Write the trigonometric expression as an algebraic expression.

sin(arcsinx+arccosx)

Answer 1

sin arcsinx cos arccosx + cos arcsinx sin arccosx
= x*x + √(1-x^2) √(1-x^2)
= x^2 + 1-x^2
= 1

Naturally, since arcsinx + arccosx = pi/2