Question

Find the value of A if cosA/1-sinA+cosA/1+sinA=4​

Answer 1

Answer:

Thus A = 90° or 60°

Step-by-step explanation:

cosA/ (1-sinA)+cosA / (1+sinA) = 4​

1/(1-sinA)(1+sinA) { cosA(1+sinA) +cosA(1-sinA)}=4

{ cosA+ sinAcosA+cosA- sinAcosA)=4((1-sin²A))

2cosA =4cos²A

2cos²A-cosA=0

cosA(2cosA-1)=0

cosA=0,A=90°

2cosA-1=0

2cosA=1

cosA=1/2

A=60°

Thus A= =90° or 60°