anonymous
  • anonymous
sec-tan=cos/1+sin I have to get the left to become the right without changing the right hand side using trig fomulas
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
So how can you rewrite the left-hand side to start out?
anonymous
  • anonymous
yes
anonymous
  • anonymous
No, how would you do it? Just making sure you know how to start, lol.

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anonymous
  • anonymous
I changed the sec and tan to 1/cos and sin/cos
anonymous
  • anonymous
Right. And both of those fractions have a denominator of cos and can thus be combined into \(\frac{1-sinx}{cosx}\) I'm sure that makes sense. From there, the trick is to multiply top and bottom by the conjugate of the numerator. As in multiply top and bottom by 1+sinx. So what would the numerator become if you wee to do that?
anonymous
  • anonymous
(1-sin^2)/cos(1+sin)?
anonymous
  • anonymous
Exactly. And you can use an identity on the \(1-sin^{2}x\)
anonymous
  • anonymous
cos^2/(1+sin)
anonymous
  • anonymous
RIght, you would now have \[\frac{ \cos^{2}x }{ cosx(1+sinx) }\] which from there you can seen how one of the cosines would cancel and youd have the result youre looking for :)
anonymous
  • anonymous
thank you so much
anonymous
  • anonymous
No problem :)

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