Choose the one alternative that best completes the statement or answers the question.
Complete the identity.
-$\cos \left( \sin ^ { - 1 } \mathrm { v } \right) =$ ?
A) $\sqrt { v ^ { 2 } + 1 }$
B) $\sqrt { 1 - v ^ { 2 } }$
C) $\frac { \sqrt { v ^ { 2 } + 1 } } { v }$
D) $\sqrt { \mathrm { v } ^ { 2 } - 1 }$

Question

Quizplus · Accepted Answer

The correct identity is $\cos(\sin^{-1}(v)) = \sqrt{1 - v^2}$, which follows from the Pythagorean identity $\sin^2(x) + \cos^2(x) = 1$, where $x = \sin^{-1}(v)$.

Choose the One Alternative That Best Completes the Statement or Answers