Cos A by 1 + sin a + 1 + sin a by cos A is equal to 2 sec a
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Answer:
cosA/(1+sinA) + (1+sinA)/cosA
= cos^2A + (1+sinA)^2/(1+sinA)cosA
= (cos^2A + 1 + sin^2A + 2sinA)/(1+sinA)cosA
= (1+1+2sinA) /(1+sinA)cosA
= (2+2sinA)/(1+sinA)cosA
= 2(1+sinA)/(1+sinA)cosA
= 2/cosA
= 2secA
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