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marigirl
 one year ago
e^x cos x – e^x sinx=0
marigirl
 one year ago
e^x cos x – e^x sinx=0

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marigirl
 one year ago
Best ResponseYou've already chosen the best response.0\[e^x(\cos(x)\sin(x))=0\]

marigirl
 one year ago
Best ResponseYou've already chosen the best response.0how can i solve for x now Please help me :)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2The exponential is negative power? like this?\[\large\rm e^{x}(\cos x\sin x)=0\]

marigirl
 one year ago
Best ResponseYou've already chosen the best response.0oh yes i missed writing the negative. how can i solve it now.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Apply your `ZeroFactor Property`: \(\large\rm (a)(b)=0\implies a=0~or~b=0\)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2So,\[\large\rm e^{x}=0 \qquad\qquad\qquad (\cos x\sin x)=0\]

marigirl
 one year ago
Best ResponseYou've already chosen the best response.0i am not sure how to do the cos (x)sin(x) part

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Hmmm, I would probably add sin x to the other side. and then ummm...\[\large\rm \cos x=\sin x\]No ideas from here? :)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2No no, \(\large\rm \cos^2x+\sin^2x=1\) Not \(\large\rm \cos x+\sin x=1\) :D

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Lot of ways to proceed from here. Maybe the most straight forward approach would be to divide by cosine.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2\[\large\rm 1=\frac{\sin x}{\cos x}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Do you remember an identity for sine over cosine? :o

marigirl
 one year ago
Best ResponseYou've already chosen the best response.0pi/4 is the answer! thanks!

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Hmm cotangent is the one with co on top :d you need tangent. but ya.. k cool :3

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2You need to recall that the exponential function has an asymptote at zero. So this other part is actually never true: \(\large\rm e^{x}=0\)

marigirl
 one year ago
Best ResponseYou've already chosen the best response.0if i divide by sin(x) ..
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