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Question 18)
=sinQ/(cotQ+cosecQ) - sinQ/(cotQ-cosecQ)
=sinQ (cotQ-cosecQ)-sinQ (cotQ+cosecQ)/(cot2Q-cosec2Q)
=sinQ cotQ - 1 - sinQ cotQ - 1/-1
= -2/-1
+2
hence proved
=sinQ/(cotQ+cosecQ) - sinQ/(cotQ-cosecQ)
=sinQ (cotQ-cosecQ)-sinQ (cotQ+cosecQ)/(cot2Q-cosec2Q)
=sinQ cotQ - 1 - sinQ cotQ - 1/-1
= -2/-1
+2
hence proved
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