(1+tan theta+ sec theta) ( 1+ cot theta- cosec theta) find it
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sol : (1+tan theta+ sec theta) (1+cot theta- cosec theta )
= ( 1+ sin theta/cos theta+1/cos theta) (1+cos theta/sin theta -1/sin theta)
= (cos theta+sin theta+ 1)(sin theta+ cos theta-1)
/sin theta cos theta
= (cos theta +sin theta)^-1 /sin theta cos theta
= cos^theta +sin^theta+2sin theta cos theta -1
/sin theta cos theta
= 1+2sin theta cos theta -1
/sin theta cos theta
=2sin theta cos theta
/sin theta cos theta
= 2.
Hope it helps you..
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