Question

How do you rewrite the expression as a single logarithm and simplify `lnabs(secx)+lnabssinx`?

Answer 1

Please see the explanation.

Explanation:

Use the property `ln(a) + ln(b) = ln(ab)`

`ln|sec(x)| + ln|sin(x)| = ln|sec(x)sin(x)|`

Use the identity `sec(x)sin(x) = tan(x)`

`ln|sec(x)| + ln|sin(x)| = ln|tan(x)|`