7. [25 pts.] The following defines the PDF of a probability distribution f(x) = sin(x) 2 Hint: You can express your answers using inverse trignometric functions (if necessary), arcsine, arccosine, arctangent, and so forth. (a) Find the DF of this distribution. Be sure to define the DF on the whole real line. (b) Find the quantile function of this distribution. Be sure to specify its domain as well as the formula