Question

Write the general solution to y=arcsin 0.9659

Answer 1

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.

Answer 2

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)