trigonometry identities equation

pawelwolf

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Joined
Jan 20, 2019
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3
Hi I struggle with equation ((1+sin(2x)+cos(2x)) / (1+sin(2x)-cos(2x))) =Cot(x) tried lots of different identities for 2 houres and have no progres I had some more simple one explained on lecture and understand basic way of do it, but have no luck will be apreciated any clues. Thanks.
 
Hi I struggle with equation ((1+sin(2x)+cos(2x)) / (1+sin(2x)-cos(2x))) =Cot(x) tried lots of different identities for 2 houres and have no progres I had some more simple one explained on lecture and understand basic way of do it, but have no luck will be apreciated any clues. Thanks.
Hint:

cos(2x) = 2cos^2x - 1

sin(2x) = 2*sin(x) * cos(x)
 
Solved?

Hi I struggle with equation ((1+sin(2x)+cos(2x)) / (1+sin(2x)-cos(2x))) =Cot(x) tried lots of different identities for 2 houres and have no progres I had some more simple one explained on lecture and understand basic way of do it, but have no luck will be apreciated any clues. Thanks.
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eventually got it, may you see if its right please?.

=2cos(x)*(sin(x)+cos(x)) / 2sin(x)*(cos(x)+sin(x)) => cos(x)/sin(x)=cot(x)
 
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