SOLUTION: verify the identity csct+sect/sint+cost = csct/cost

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Question 920828: verify the identity
csct+sect/sint+cost = csct/cost
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%28csc%28t%29%2Bsec%28t%29%29%2F%28sin%28t%29%2Bcos%28t%29%29+=+csc%28t%29%2Fcos%28t%29
start with
%28csc%28t%29%2Bsec%28t%29%29%2F%28sin%28t%29%2Bcos%28t%29%29+ .....use identity csc%28t%29=1%2Fsin%28t%29 and sec%28t%29=1%2Fcos%28t%29

= %281%2Fsin%28t%29%2B1%2Fcos%28t%29%29%2F%28sin%28t%29%2Bcos%28t%29%29

=

=

=

=1%2F%28sin%28t%29cos%28t%29%29 go to csc%28t%29=1%2Fsin%28t%29=> 1%2Fcsc%28t%29=sin%28t%29

=1%2F%28%281%2Fcsc%28t%29%29cos%28t%29%29

=1%2F%28cos%28t%29%2Fcsc%28t%29%29

=csc%28t%29%2Fcos%28t%29