Write the following as an algebraic expression in u, u 0.
-cos(arcsin u)
A) $\sqrt { 1 - \mathrm { u } ^ { 2 } }$
B) $\frac { \sqrt { \mathrm { u } ^ { 2 } + 1 } } { \mathrm { u } }$
C) $\sqrt { u ^ { 2 } - 1 }$
D) $\sqrt { u ^ { 2 } + 1 }$

Question

Write the following as an algebraic expression in u, u > 0.
-cos(arcsin u) 
A) $\sqrt { 1 - \mathrm { u } ^ { 2 } }$
B) $\frac { \sqrt { \mathrm { u } ^ { 2 } + 1 } } { \mathrm { u } }$
C) $\sqrt { u ^ { 2 } - 1 }$
D) $\sqrt { u ^ { 2 } + 1 }$

Quizplus · Accepted Answer

Using the Pythagorean identity for sine and cosine, $\sin^2(x) + \cos^2(x) = 1$, if $\sin(x) = u$, then $\cos(x) = \sqrt{1 - u^2}$.

Write the Following as an Algebraic Expression in U, U 1−u2\sqrt { 1 - \mathrm { u } ^ { 2 } }1−u2​

Write the Following as an Algebraic Expression in U, U $\sqrt { 1 - \mathrm { u } ^ { 2 } }$