\displaystyle [br]\begin{align*}\cos y = x &\Rightarrow \cos^2 y = x^2 \\ & \Rightarrow 1 - \cos^2 y = 1 - x^2 \\ & \Rightarrow \sin^2 y = 1 - x^2 \\ & \Rightarrow \sin y = \sqrt{1-x^2}\end{align*}
\displaystyle [br]\begin{align*}\cos y = x &\Rightarrow \cos^2 y = x^2 \\ & \Rightarrow 1 - \cos^2 y = 1 - x^2 \\ & \Rightarrow \sin^2 y = 1 - x^2 \\ & \Rightarrow \sin y = \sqrt{1-x^2}\end{align*}
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