Answers

2016-01-07T21:40:57+05:30
I am taking theta as a.

sec a ( 1- sin a )( sec a + tan a)
= sec a [ sec a + tan a - sin a × sec a - sin a × tan a ]
= sec ^2 a + sec a × tan a - sin a × sec^2 a - tan a × sin a × sec a
= sec ^2 a + (sin a / cos ^2 a) - (sin a / cos ^2 a) - (sin^2 a / cos ^2 a)
= sec ^2 a - tan ^2 a
= 1

Hence proved.
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