Problem T1-1 The polar coordinate curve r = sin(20) can be graphed as I forgive you if you forgot the polar coordinate system and I provide you the conversion formula between the polar and Cartesian coordinate systems x= r cos (y=r, sin Please use any one of the numerical integration algorithms including rectangle rule, trapezoidal rule, and Monte Carlo methods, etc to write a program to compute the area enclosed by this curve. Ifyou insist on using a method other than Monte Carlo, you may need to solve the equation numerically. Or, uou look up cubic equation formula Your result should have four significant digits. If the exact result is 1.5707963, your result must be 1.570xxx where xxx can be arbitrary By the way, the area can be computed analytically 2 -sin(20) 2 2 - COS 0 Problem T1-1 The polar coordinate curve r = sin(20) can be graphed as I forgive you if you forgot the polar coordinate system and I provide you the conversion formula between the polar and Cartesian coordinate systems x= r cos (y=r, sin Please use any one of the numerical integration algorithms including rectangle rule, trapezoidal rule, and Monte Carlo methods, etc to write a program to compute the area enclosed by this curve. Ifyou insist on using a method other than Monte Carlo, you may need to solve the equation numerically. Or, uou look up cubic equation formula Your result should have four significant digits. If the exact result is 1.5707963, your result must be 1.570xxx where xxx can be arbitrary By the way, the area can be computed analytically 2 -sin(20) 2 2 - COS 0