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 $\csc x = \frac{1}{\sin x}$, and taking the natural logarithm of both sides gives $\ln | \csc x | = \ln | \frac{1}{\sin x} | = - \ln | \sin x |$.

Complete the Identity ln⁡∣csc⁡x∣=?\ln | \csc x | = ?ln∣cscx∣=? A) −ln⁡∣sin⁡x∣- \ln | \sin x |−ln∣sinx∣

Complete the Identity $\ln | \csc x | = ?$ A) $- \ln | \sin x |$