Question

Write the expression as an algebraic (nontrigonometric) expression in u, u > 0. sin (arctan u) $\sin(\arctan u) = \frac{u\sqrt{1 - u^2}}{1 - u^2}$ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.

          Write the expression as an algebraic (nontrigonometric) expression in u, u > 0.
sin (arctan u)
$\sin(\arctan u) = \frac{u\sqrt{1 - u^2}}{1 - u^2}$
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.

$Write the expression as an algebraic (nontrigonometric) expression in u, u > 0. sin (arctan u) sin(arctan u) = (u√(1 - u^2))/(1 - u^2) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.$

Added by Dustin H.

Introductory and Intermediate Algebra for College Students 4th

Robert Blitzer 4th Edition

Instant Answer

Solved by Expert Andrew Noble

03/10/2024

Step 1

Let's call this angle θ. tan(θ) = u θ = arctan(u) Show more…

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Write the expression as an algebraic (nontrigonometric) expression in u,u>0. sin(arctanu) sin(arctanu)= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Write the expression as an algebraic(nontrigonometric)expression in u,u>0 sin(arctanu) u/1-u2 sin(arctanu)= 1-u2 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. F