Question

cos A _ sinA +1 /cosA + sinA_1 =cosec A + cos^A

Answer 1

Hai bro this is your answer

cosA-sinA+1/cosA+sinA-1=cosecA+cosA?

LHS=
cosA(cosA-sinA+1)/cosA(cosA+sinA-1)

=> cosA(cosA-sinA+1)/cos²A+sinAcosA-cosA

=> cosA(cosA-sinA+1)/1-sin²A+sinAcosA-cosA

=> cosA(cosA-sinA+1)/(1-sinA) (1+sinA)-cosA(1- sinA)

=> cosA(cosA-sinA+1)/(1+sinA)(1-sinA+cosA)

=> cosA/1+sinA

=> cosA/1 + 1/sinA

=> cosA+cosecA
LHS=RHS

Hense prove. _________###swarnim ##

I hope this is helpful for you