Sqrt ((1+cosA)/(1-cos A)) =

Cosec A + cot A

Interview Candidate
Jun 19th, 2005
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deepali

Jan 26th, 2006

Answer is "cosecA + cot A" as
sqrt((1+cosA)/(1-cos A)) =sqrt((1+cosA)(1+cosA)/(1-cos A)(1+cosA))
                                        = (1+cosA)/sqrt(1-cos^2A)
                                        =(1+cosA)/sqrt(sin^2A)
                                        =(1+cosA)/(sinA)
                                        =1/sinA+cosA/sinA
                                        =cosecA+cotA

senthilkumar

May 23rd, 2007

sqrt ((1+cosA)/(1-cos A)) =sqrt(1-sq(cosA))=srt(sqr(sinA))=SinA

kruthisiva
Profile Answers by kruthisiva

Oct 23rd, 2009

ANS:cosecA+cotA
sqrt((1+cosA)(1+cosA)/(1-cosA)(1+cosA))=sqrt(((1+cosA)^2)/(1-cos^2(A)))
                                                                 =(1+cosA) sqrt(1/sin^2(A))
                                                                 =(1+cosA)/sinA
                                                                 =(1/sinA)+(cosA/sinA)
                                                                 =cosecA+cotA
Formulas used:
         cos^2(A)=1-sin^2(A)
         1/sinA=cosecA
          cosA/sinA=cotA