Question

Please help.
ln |cos 0| - ln |sin 0|

Answer 1

\[\sin(0)=0\] so
\[\ln(\sin(0))\] is undefined

Answer 2

thats none of the answers

Answer 3

what are your options/

Answer 4

it might be none of the answers, but you can take it to the bank that there is no log of zero.

Answer 5

ln |cot0|
ln |tan0|
ln| sec0|
ln|cos0|
ln|sin0|
ln|csc0|

Answer 6

oh perhaps that is a
\[\theta\]??

Answer 7

yeah its theta

Answer 8

in which case the answer is
\[\ln(\frac{\cos(\theta)}{\sin(\theta)})\]
\[\ln(\cot(\theta)\]

Answer 9

in general
\[\theta\neq 0\]

Answer 10

\[ln |cos \theta | - ln |sin \theta|\]\[=ln \big|{cos \theta \over sin\theta }\big |\]\[=ln \big|{cot \theta }\big |\]

Answer 11

that was perfect