solve replace with or for is it correct to say there are no solutions for this? for the other one I got Are these all the solutions in the interval, or does cot2x =0 also have a solution?
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Originally Posted by Tweety solve replace with or for is it correct to say there are no solutions for this? for the other one I got Are these all the solutions in the interval, or does cot2x =0 also have a solution? on therefor so for
Last edited by bigwave; Jan 21st 2010 at 12:44 PM. Reason: more info
The numerator of cot2x is cos2x. This is zero for
Originally Posted by Archie Meade The numerator of cot2x is cos2x. This is zero for Thanks, I have wouldn't I have to solve for x? so I would have to multiply both sides my cos2x to get , which is zero at and ? And so there are four solutions altogether?
Last edited by bigwave; Jan 21st 2010 at 01:02 PM. Reason: correct equation
Originally Posted by bigwave as mentioned by Archie oh right, Can you please explain how did you get cot2x to equal ? Thank you!
That one is the ratio for Tan2x, Tweety, ie which is Tan2x inverted. So the other two solutions are found by solving Cos2x=0, since Cot2x=0 when the numerator Cos2x is zero.
Actually I was just wondering, I have that would be the same as witting ...meaning tan2x couldn't = 0 ? So how come these other to solutions are 'valid'? Can someone please explain, thanks.
You may be thinking of Tan2x going to infinity, but yes it does when Cos2x goes to zero. goes to zero when x goes to infinity.
Originally Posted by Tweety oh right, Can you please explain how did you get cot2x to equal ? Thank you! sorry this was not correct... already answered tho.
Okay, I kind of 'get it' , thanks for your help.
You can think it through with little fractions first. since the numerator is twice the denominator. To divide by a fraction, just turn it upside down and multiply instead. Therefore is Tan2x upside down.
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