Answer with explanation:
The given trigonometric function is
\(\Rightarrow y= sin^{-1} (0.9659)\\\\ \Rightarrow \ Siny=(0.9659)\\\\\Rightarrow \ Siny=\ Sin75^{\circ}\\\\ \Rightarrow \ SinA^{\circ}=\ SinB^{\circ}\\\\\Rightarrow A^{\circ}=k \pi + (-1)^k B\)
Where, k=Any integer for the general solution of the equation.
So, the general solution of the above trigonometric function will be:
\(y=k \pi +(-1)^k 75^{\circ}\)
Where, k is any Integer.