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Answer:
sec^2x
Step-by-step explanation:
sin^2x(sec^2x+cosec^2x)
= sin^2x(1/cos^2x+1/sin^2x)
=sin^2x(sin^2x +cos^x)/sin^2xcos^2x
=sin^2x(1/sun^2xcos^2x) (sin^2x+cos^2x=1)
=1/cos^2x
=sec^2x
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