Hello,
Please use parenthesis !!
wHat exactly is in the denominator ?
Two questions for now:
1. Simplify sin /1+cos * 1-sin^2 /cot .
I got as far as sin^2 cos /1 + cos . Is there any further i can go??
2. Simplify sin^3 -cos^3 /sin^2 -cos^2 .
Can i use difference and sum of cubes here to factorise or is this not possible?
Thanks!
Steven
lol sorry i really struggle with the math tags
Ok for the first one:
(sin ) (1-sin^2 )
--------------------------
(1 + cos ) (cot )
So far all i've been able to do is simplify it somehow to:
(sin^2 * cos )
----------------------
(1 + cos )
I don't even know if this is right though. We are supposed to be using trigonometric identities but im a bit rusty with the algebra (which i know should be quite easy)
Hmmm, for the latex, use [tex]\frac{numerator}{denominator}[/tex] for a fraction
You can notice that
Yes you can ! (it's a difference here )Can i use difference and sum of cubes here to factorise or is this not possible?
And factorise the denominator too :
That's much better!
So the back of my book tells me the answer is
cos
----------
1 + cos
Is this the same thing (obviously a more simplified version)? If so, how do they get to the final stage?
P.S. Thanks for alerting me to the mistake! I was panicking for a moment there
Yes, I'm really sorry for that
This is weirdcos
----------
1 + cos
Is this the same thing (obviously a more simplified version)? If so, how do they get to the final stage?
It's not the same result at all...
I'll start from scratch, ok ?
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Is there a possible mistake in the book ?
It is extremely possible that there is a mistake in the book (it is full of them). So i will take your word for it (particularly because yours makes sense and i got almost the same answer). That help was invaluable to me, I was so close, yet so far Just one more thing, in the end can you cancel the bottom cos with the top one? or is that one the final answer?
Ok, so for the second one, i am at this point:
Sin^2 + cos sin + cos^2
-------------------
sin + cos
This is after I have factorised it, but this par confuses me, especially the top bit. Am i on the right track or way off?
How do you want to simplify the cosines ??
Isn't the final answer ?
Well, it's correct you were on the right track Now you just need some practice ^^
Right trackOk, so for the second one, i am at this point:
Sin^2 + cos sin + cos^2
-------------------
sin + cos
This is after I have factorised it, but this par confuses me, especially the top bit. Am i on the right track or way off?
This is the good factorisation !
Now you can play with it...
and then
I'm not used to csc and sec, so if you know some identities, use them ^^
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Or you can write
So you can have at least 2 displays of the final answer