(sec theta -cos theta)(cot theta +tan theta) =?
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Step-by-step explanation: (secQ-cosQ) (cotQ+tanQ)
=(1/cosQ - cosQ) (cosQ/sinQ+sinQ/cosQ)
=(1-cos^2Q)/cosQ(cos^2Q+sin^2Q)/sinQcosQ
=(sin^2Q/cosQ)(1/sinQcosQ)
=sinQ/cosQcosQ
=tanQsecQ
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