Prove that cos a upon 1 + sin a + 1 + sin a upon cos a is equal to 2 s

1.	Prove that cos a upon 1 + sin a + 1 + sin a upon cos a is equal to 2 sec a
Answer» L. H.S Cos a upon 1 + sin a+ 1 + sin a upon Cos a = cos square A + (1 + sin square a ) upon ( 1 + sin a) Cos a = cos square a + 1+ s i n square a 2 sin a upon ( 1 + sin a) + Cos a = sin square a+ cos square a+ 1 + 2 sin a upon ( 1+ sin a ) + Cos a = 1+1 + 2 sin a upon (1 + sin a) Cos a= 2 + 2 sin a upon (1+sin a) Cos a = 2 ( 1+sin a) + cos a = 2 •1 upon Cos a = 2sec a

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