use the fundamental identities to simplify the expression
cos (raised to the 2nd power) X
----------------------------------------- + csc X sin X
sin (raised to the 2nd power) X
1
Expert's answer
2012-12-03T09:15:30-0500
we know that csc(X)=1/sin(X). So cos^2(X)/sin^2(X)+csc(X)*sin(X)=cos^2(X)/sin^2(X)+1/sin(X)*sin(X)= =cos^2(X)/sin^2(X)+1=(cos^2(X)+sin^2(X))/sin^2(X)=1/sin^2(X)
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