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5 votes
Rewrite the expression as a single logarithm and simplify the result.
ln lcosxl +lnltanxl

User Sstur
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recall your logarithms rules


\bf ln|cos(x)|+ln|tan(x)|\\\\ -----------------------------\\\\ log_{{ a}}(xy)\implies log_{{ a}}(x)+log_{{ a}}(y)\qquad thus\\\\ -----------------------------\\\\ ln|cos(x)tan(x)|\implies ln\left| cos(x)\cdot \cfrac{sin(x)}{cos(x)} \right|\implies ln|sin(x)|
User Ahna
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