1 – cos^{2}x/(1 + Sinx) = Sinx?
Thank you!
That is a great question. I believe it is. I am taking an online pre-calc class and that is exactly how the question appears. The professor is not too helpful......He said this statement is true so i do think it is how you noted. Any help would be greatly appreciated
$\displaystyle \displaystyle \begin{align*} 1 - \frac{\cos^2{x}}{1 + \sin{x}} &\equiv 1 - \frac{1 - \sin^2{x}}{1 + \sin{x}} \\ &\equiv 1 - \frac{\left(1 - \sin{x}\right)\left(1 + \sin{x}\right)}{1 + \sin{x}} \\ &\equiv 1 - \left(1 - \sin{x}\right) \\ &\equiv 1 - 1 + \sin{x} \\ &\equiv \sin{x} \end{align*}$