Please answer(prove) the question.
Regards
M581 Team
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Please answer(prove) the question. RegardsM581 Team
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Step-by-step explanation:
i have tried to write every single step ask if any doubt in any step
hope it will be benifit you
Step-by-step explanation:
LHS = cosA/ ( 1+sinA) +( 1+ sinA )/ cosA
= cosA × cosA / ( 1+sinA)cosA
+ ( 1+ sinA )( 1+ sinA ) /( 1+ sinA )cosA
= cos²A + ( 1+ sinA )² / (1+ sinA )cosA
=( cos²A + 1+ 2sinA + sin²A) /(1+ sinA )cosA,
we know that cos²A + sin²A =1
= (1+ 1 + 2 sinA) /(1+ sinA )cosA
= (2+ 2sinA )/(1+ sinA )cosA
= 2 ×(1+ sinA ) /(1+ sinA )cosA
= 2 / cosA, we know 1/cosA =secA
= 2secA
= RHS
Hence proved