( 1+ cot a + tan a ) ( sin - cos a ) = sec a / cosec^2 a - cosec a / sec^2 a
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Answer:
lh= cosecA(secAsecA)
= cosecA(1 + tanAtanA)
RS = cosecA + tanAsecA
= cosecA(1 + sinAtanAsecA)
= cosecA(1 + tanAsinA/cosA)
= cosecA(1 + tanAtanA) = LS
Hence proved
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