prove that : sec(3pi/2-a) sec(a-5pi/2) + tan(5pi/2+a) tan(a-3pi/2) = -1
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-1÷sin^2a+cos^2a÷sin^2a
cos^2a-1/sin^2a
-sin^2a/sin^a
=-1
cos^2a-1/sin^2a
-sin^2a/sin^a
=-1
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