Solve

4 points) Below you see a student's solution to a problem about trigonometric functions. Are there any errors in the student's solution? Explain in detail what error(s) were made and their cause. Then write a correct solution to the problem. Use full sentences, and explain in your reasoning in words. Student's solution Problem: Evaluate arcsin (sin(arcsin (sin(arcsin (sin(arcsin (sin()))))))) Student solution: We know that arcsin (a ) is the inverse function of sin(a). Therefore (f of-1) (x) = x and (f 1 of) (x) = x. This means that arcsin sin ( 7 ) ) = T. Therefore we can simplify to get the following expression arcsin sin (arcsin(sin (arcsin (sin (arcsin (sin( )))) )) )) = = arcsin (sin (arcsin (sin(arcsin (sin()))))) = arcsin (sin(arcsin (sin( )))) This means that after several applications, we get arcsin (sin (arcsin (sin (arcsin (sin (arcsin (sin() ) ))) ) )) = Answer: TT