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C2 maths help

prove that [(sin x)/ (1 +cos x)] +[(1 + cos x) /sin x ] = 2/sin x
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Avatar for Zacken
Zacken
22
Original post by man111111
prove that [(sin x)/ (1 +cos x)] +[(1 + cos x) /sin x ] = 2/sin x


What have you tried so far? Try getting them under a common denominator.
Reply 2
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man111111
OP
12
Original post by Zacken
What have you tried so far? Try getting them under a common denominator.


I don't know how to make the denominators the same
Reply 3
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Zacken
22
Original post by man111111
I don't know how to make the denominators the same


ab+cd=ad+bcbd\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}
Reply 4
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Mr. H
1
Multiply thesin⁡x1+cos⁡x \frac {\sin{x} } {1+ \cos{x}} by 1−cos⁡x1−cos⁡x \frac {1- \cos{x} } {1- \cos{x}} and use the identity sin⁡2x+cos⁡2x=1\sin^2 {x} + \cos^2 {x}=1
(edited 6 years ago)
Original post by man111111
prove that [(sin x)/ (1 +cos x)] +[(1 + cos x) /sin x ] = 2/sin x

sinx1+cosx+1+cosxsinx\frac{sin{x}}{1+cos{x}}+\frac{1+cos{x}}{sin{x}}

Try putting it over a common denominator of sinx(1+cosx)sin{x}(1+cos{x})

Then use cos2x+sin2x=1cos^2{x}+sin^2{x}=1 and cancel.
I see. I was correcting the mistake I made in the picture I attached. Thanks for both solutions

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Reply 7
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Notnek
21
Hi, it is against the maths forum rules to post full solutions so all full solutions have been removed from this thread.

Please see the posting guide for more information.

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