( sin theta + cos theta)( sec theta + cosec theta) = 2 + sec theta. cosec theta
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Step-by-step explanation:
(sin+cos)(sec+cosec)
=(sin+cos)(1/cos+1/sin)
=(sin+cos)(sin+cos/sincos)
=(sin+cos)²/sincos
=1+2sincos/sincos
=seccosec+2
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