Question

simplify the expression
cos^2 A/1 + sin A

Answer 1

\[\cos^2(A)=1-\sin^2(A)=(1+\sin(A))(1-\sin(A))\]

Answer 2

that should help

Answer 3

\[\large{\cos^2A=1-\sin^2A}\]\[\large{1-\sin^2A}=(1-sinA)(1+sinA)\]
\[\large{\frac{\cos^2A}{1+sinA}}=\frac{1-\sin^2A}{1+sinA}= \frac{(1-sinA)\cancel{(1+sinA)}}{\cancel{1+sinA}}\]

Answer 4

= 1 - sin^2A / 1 + sinA
= (1-sinA)(1+sinA) / (1+ sin A)

- nearly done

Answer 5

Thank you all