Write the trigonometric expression as an algebraic expression in u.
-$\sin \left( \csc ^ { - 1 } \mathrm { u } \right)$
A) $\frac { 1 } { \mathrm { u } }$
B) $u$
C) $\frac { \sqrt { \mathrm { u } ^ { 2 } + 1 } } { \mathrm { u } }$
D) $\frac { \sqrt { \mathrm { u } ^ { 2 } - 1 } } { \mathrm { u } }$

Question

Quizplus · Accepted Answer

The expression $\sin \left( \csc ^ { - 1 } \mathrm { u } \right)$ simplifies to $\frac { 1 } { \mathrm { u } }$ because $\csc^{-1}u$ is the angle whose cosecant is $u$, and the sine of that angle is the reciprocal of $u$.

Write the Trigonometric Expression as an Algebraic Expression in U sin⁡(csc⁡−1u)\sin \left( \csc ^ { - 1 } \mathrm { u } \right)sin(csc−1u)

Write the Trigonometric Expression as an Algebraic Expression in U $\sin \left( \csc ^ { - 1 } \mathrm { u } \right)$