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Question
`sec theta (1- sin theta )( sec theta + tan theta )=1`
Solution
LHS = `sec theta ( 1- sin theta )(sec theta + tan theta)`
=` (sec theta - sec theta sin theta) ( sec theta + tan theta)`
=` (sec theta - 1/(cos theta) xx sin theta )(sec theta+tantheta)`
=` (sec theta - tan theta ) ( sec theta + tan theta)`
= `sec ^2 theta - tan ^2 theta`
= 1
= RHS
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