ThiBuoAj9essic3axb
ThiBuoAj9essic3axb ThiBuoAj9essic3axb
  • 13-07-2016
  • Mathematics
contestada

How to prove (1-secx)/(1-cosx)=-secx

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caylus
caylus caylus
  • 13-07-2016
Hello,
We suppose x ≠+/-π/2. (division by 0)


sec x=1/cos x

1-sec x= 1-1*cos x=(cos x -1)/cos x

(1-sec x)/(1-cos x)=(cos x -1)/(cos x*(1-cos x))=-1/cos x=- sec x

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taskmasters
taskmasters taskmasters
  • 17-07-2016
To answer, we have to simplify the expression given. We know that:

sec x=1/cos x

1-sec x= 1-1/cos x=(cos x -1)/cos x

(1-sec x)/(1-cos x)=(cos x -1)/(cos x*(1-cos x))=-1/cos x=- sec x



Answer Link

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