# How do we find the value of sin^2theta if 1-cos^2theta = t?

May 31, 2017

${\sin}^{2} \theta = t$
$\text{using the "color(blue)"trigonometric identity}$
$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{{\sin}^{2} \theta + {\cos}^{2} \theta = 1} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
$\Rightarrow {\sin}^{2} \theta = 1 - {\cos}^{2} \theta = t$