Write each trigonometric expression as an algebraic expression in u, for u 7 0. tan (arc cos u)
To write the trigonometric expression tan(arc cos u) as an algebraic expression in u, we need to use a trigonometric identity.
The identity that relates the tangent and inverse cosine functions is:
tan(arc cos u) = √(1 - u^2) / u
Therefore, the algebraic expression for tan(arc cos u) is:
√(1 - u^2) / u