SOLUTION: verify (tanx)/(1-cosx)=cscx(1+secx)

Question 604206: verify (tanx)/(1-cosx)=cscx(1+secx)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
verify (tanx)/(1-cosx)=cscx(1+secx)
starting with right side
csc(1+sec)
=(1/sin)(1+(1/cos))
expand
=(1/sin)+(1/sincos)
=(cos+1)/(sincos)
multiply top and bottom by (cos-1)
=(cos+1)(cos-1)/(sincos)(cos-1)
=(cos^2-1)/(sincos)(cos-1)
=[(cos^2-1)/sincos]*(1/(cos-1))
=(-sin^2)/sincos/(cos-1)
=(-sin/cos)/(cos-1)
=-tan/(cos-1)
=tan/(1-cos)
verified:
right side=left side

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