Choose the one alternative that best completes the statement or answers the question.
Complete the identity.
-$\ln | \csc x | = ?$
A) $- \ln | \sin x |$
B) $\ln | \sin x |$
C) $- \ln | \cos x |$
D) $\ln | \cos x |$

Question

Quizplus · Accepted Answer

The identity $\ln | \csc x | = - \ln | \sin x |$ is correct because $\csc x = 1/\sin x$, and taking the natural logarithm of both sides gives $\ln | \csc x | = \ln |1/\sin x| = - \ln |\sin x|$.

Choose the One Alternative That Best Completes the Statement or Answers