Prove: cosA/(1+ sinA ) + (1+ sinA)/cosA = 2secA

Given cosA/(1+sinA) +(1+sinA)/cosA

On taking the LCM we get,

={cos²A +(1+sinA)²}/cosA.(1+sinA)

Combining the like terms and adding and also we know that,use sin²A+cos²A =1

=(1+1+2sinA)/cosA(1+sinA)

=2(1+sinA)/cosA(1+sinA)

=2/cosA

=2secA

Hence Proved

Related Questions & Answers
What Happens To The Acceleration Of A Body If The Body Comes To Rest	The Force Of Gravitation Between Two Bodies Varies With R As
What Is The Process Of Crystallization	Does Acid Corrode Metal
How Do Mutations Cause Evolution	How Does Ciliated Epithelium Differ From Columnar Epithelium
What Is The Purity Of Pure Gold In Carat	Give An Example Of A Physical Change
The Distance Travelled By The Body Between 0 To 20 Seconds	What Are Oncogenic Viruses