Question #a5232

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Answer 1 · 2017-01-24T14:46:51

#LHS=sqrt((1+cos theta)/(1-cos theta))#

#=sqrt(((1+cos theta)(1+costheta))/((1-costheta)(1+cos theta)))#

#=sqrt((1+cos theta)^2/((1-cos^2theta))#

#=sqrt((1+cos theta)^2/sin^2theta)#

#=(1+cos theta)/sintheta#

#=1/sintheta+cos theta/sintheta#

#=csctheta+cottheta=RHS#

Proved