SOLUTION: I need help sloving this identity, please show the steps becasue I subed in 2 for B and both sides were the same so I know it is an identity but I do not how to prove it without su

Question 682945: I need help sloving this identity, please show the steps becasue I subed in 2 for B and both sides were the same so I know it is an identity but I do not how to prove it without subing in a number
(1-cosB)/(sinB)=(sinB)/(1+cosB)
Thanks :)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
prove following identity:
(1-cosB)/(sinB)=(sinB)/(1+cosB)
stare with left side
(1-cosB)/(sinB)
multiply both top and bottom by 1+cosB, making the denominator a difference of 2 squares
(1-cosB)/(sinB)*1+cosB/1+cosB
=(1-cos^2B)/sinB(1+cosB)
=sin^2B/(sinB(1+cosB))
=sinB/1+cosB
verified: left side=right side

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