Question

prove that: cosA/1+sinA+cosA/1+sinA=2secA

Answer 1

by taking LCM, We get

cos²A + (1 + sin A)² 
--------------------------- 
cos A (1 + sin A) 

cos²A + 1 + 2 sinA + sin²A 
------------------------------------- 
cos A (1 + sin A) 

2 (1 + sin A) 
---------------------- 
cos A (1 + sin A) 

2 sec A

hence proved

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