SOLUTION: rewrite in terms of csc (1/(1+cosx))+(cosx)/(1-cosx)

Algebra.Com
Question 635241: rewrite in terms of csc
(1/(1+cosx))+(cosx)/(1-cosx)
Found 2 solutions by Edwin McCravy, AnlytcPhil:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
 + 

Since csc(x) =  we'll get it first in terms of sin(x)

Get an LCD of 

· + ·



 + 

Since the denominators 1-cosē(x) are equal to sinē(x)

 + 

Multiply the numerator of the second fraction out:

 + 

Combine the numerators over the common denominator





Replace cosē(x) by 1-sinē(x)







Break into two fractions:

 - 

 - 

 - 1

Bring sinē(x) to the numerator as cscē(x)

2cscē(x) - 1

Edwin
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
 + 

Since csc(x) =  we'll get it first in terms of sin(x)

Get an LCD of 

· + ·



 + 

Since the denominators 1-cosē(x) are equal to sinē(x)

 + 

Multiply the numerator of the second fraction out:

 + 

Combine the numerators over the common denominator





Replace cosē(x) by 1-sinē(x)







Break into two fractions:

 - 

 - 

 - 1

Bring sinē(x) to the numerator as cscē(x)

2cscē(x) - 1

Edwin
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