Respuesta :

You are given the function of y=arcsin 0.9659 and you are asked to find the general solution of the function. In order to do that, you have to derive the given function. the answer would be 1/sqrt(1.035^2 + x^2)

Answer with explanation:

The given trigonometric function is

 [tex]\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[/tex]

Where, k=Any integer for the general solution of the equation.

So, the general solution of the above trigonometric function will be:

      [tex]y=k \pi +(-1)^k 75^{\circ}[/tex]

Where, k is any Integer.