^I think it should be the other way around. That is, the negative of what you have.
In the lecture, my lecturer said that this 2 parts (which I marked x) will be canceled out. That makes sense but it didn’t when the next step he wrote the numerator as sinx sinx sinh - cosx cosh sinx.I think it should be the other way around. That is, the negative of what you have.
Can someone please explain to me what’s happening to the numerator which I highlighted? It’s from my lecture but I don’t understand how it becomes sinx sinx sinh- cosx cosh sinx .
In the lecture, my lecturer said that this 2 parts (which I marked x) will be canceled out. That makes sense but it didn’t when the next step he wrote the numerator as sinx sinx sinh - cosx cosh sinx.
Did I get it right?
You mean this is incorrect?It does not! Do the algebra carefully!
In the lecture, my lecturer said that this 2 parts (which I marked x) will be canceled out. That makes sense but it didn’t when the next step he wrote the numerator as sinx sinx sinh - cosx cosh sinx.
Did I get it right?
Sorry about the sloppy work !! Laying in bed and working with "kindle" is just my working. I have to get up and go to a real computer!!This is exactly what my lecturer got. But I’m confused about how he got it. Why it becomes multiply? what happened to the negative sign in front of -sinx.
View attachment 24999
Thank you. It totally make sense right nowjust writing the numerator of your attachment (Original)
sin(x) * [cos(x)*cos(h) - sin(x)*sin(h)] - cos(x) * [sin(x)*cos(h) + cos(x)*sin(h)] ..................................multiply and distribute
sin(x) * [cos(x)*cos(h)] - sin(x) * [sin(x)*sin(h)] - cos(x) * [sin(x)*cos(h)] - cos(x)*[cos(x)*sin(h)] .................. cancel appropriate terms
sin(x) * [cos(x)*cos(h)]- sin(x) * [sin(x)*sin(h)]- cos(x) * [sin(x)*cos(h)]- cos(x)*[cos(x)*sin(h)]
= - sin(x) * [sin(x)*sin(h)] - cos(x)*[cos(x)*sin(h)]
= -sin(h)
A little later I'll delete my previous responses.
Now I hope you see that it is NOT sinx sinx sinh- cosx cosh sinx .........Can someone please explain to me what’s happening to the numerator which I highlighted? It’s from my lecture but I don’t understand how it becomes sinx sinx sinh- cosx cosh sinx .
It's like I have a twin.Sorry about the sloppy work !! Laying in bed and working with "kindle" is just my working. I have to get up and go to a real computer!!
My Brother....Beer soaked ramblings follow.
It's like I have a twin.
Yes finally, thanks to you. May I know how you getNow I hope you see that it is NOT sinx sinx sinh- cosx cosh sinx .........
- sin(x) * [sin(x)*sin(h)] - cos(x)*[cos(x)*sin(h)]Yes finally, thanks to you. May I know how you get
= - sin(x) * [sin(x)*sin(h)] - cos(x)*[cos(x)*sin(h)] (This part right here become -sin(h)?
= -sin(h)
Sorry, I did work through the problem. But this part = - [sin2(x) + cos2(x)] * sin(h) I got -ve instead +ve. May i know how it is +ve- sin(x) * [sin(x)*sin(h)] - cos(x)*[cos(x)*sin(h)]
= -sin(x)*sin(x)*sin(h) - cos(x) *cos(x)*sin(h)
= -sin2(x) * sin(h) - cos2(x) * sin(h)
= - [sin2(x) + cos2(x)] * sin(h)
= - [1] * sin(h)
= - sin(h)
Please work with pencil and paper instead of staring at the screen!!