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Mathematics 9 Online
OpenStudy (anonymous):

Simplify this expression

OpenStudy (anonymous):

\[ \huge \ln e^{\sin^2x} + \ln e^{\cos^2x} \]

OpenStudy (anonymous):

hah., a

OpenStudy (anonymous):

the answer is one.. but how ?!

OpenStudy (anonymous):

its a nice problem

OpenStudy (anonymous):

its 0

OpenStudy (anonymous):

no my answerkey says 1

OpenStudy (anonymous):

:'( walks in shame

OpenStudy (anonymous):

\[\cos^2x \ln e+\sin^2x \ln e\] but \[\ln e\] is 1

OpenStudy (anonymous):

since \[\ln e = \log_{e} ^e\]

OpenStudy (anonymous):

\[\sin^2x+\cos^2x\]

OpenStudy (anonymous):

we know that \[\cos^2x+\sin^2x=1\] in trigonometry

OpenStudy (anonymous):

thast why the answer is one

OpenStudy (anonymous):

log e is = to lin

OpenStudy (anonymous):

thank you :D

OpenStudy (anonymous):

so log e to e to 1 is 1

OpenStudy (anonymous):

you're welcome..

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