lachkate
lachkate lachkate
  • 10-03-2018
  • Mathematics
contestada

How would you write this equation in terms of sin and cos as well as simplify it from there?
(1+cotx)(1-cotx)-csc^2 x

Respuesta :

evgeniylevi
evgeniylevi evgeniylevi
  • 10-03-2018
Try this option:
[tex](1+ \frac{cosx}{sinx})(1- \frac{cosx}{sinx})- \frac{1}{sin^2x}= \frac{sin^2x-cos^2x}{sin^2x}- \frac{1}{sin^2x}=[/tex]
[tex]= \frac{sin^2x-cos^2x-sin^2x-cos^2x}{sin^2x}=- \frac{2cos^2x}{sin^2x}.[/tex]
or -2ctg²x
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