I need help with MATLAB programming. I was wondering how to find the extra values of inverse trig. For example, sin(45) = sin(135) = 0.7071. But sin^-1(0.7071) = 45 degrees. How do I get MATLAB to show me the other angles?cos(45) = cos(315) = 0.7071. cos^-1(0.7071) = 45 degrees. So, how do I get sin and cos inverse to show me all the angles for any value between -1 to 1?

I created a DCM from Euler angle sequence 1-2-3. Then I found the Principal Rotation Parameters from the DCM. Then I used the Principal Rotation Parameters to find the DCM again. But I produced a different DCM both times. Can you help me fix the MATLAB code, so I produce the same DCM both times? EA = [pi/3; -pi/4; -pi/6];EA123toDCM = EA123DCM(EA) [theta, lambda] = DCMtoPRP(EA123toDCM) PRPtoDCM = PRP2DCM(theta, lambda)   function [R] = EA123DCM(EA)     theta1 = EA(1,1);    theta2 = EA(2,1);    theta3 = EA(3,1);            R1 = @(a)[1    0      0    ;              0  cos(a) sin(a);              0  -sin(a) cos(a)];              R2 = @(a)[cos(a)  0 -sin(a) ;                0     1   0    ;              sin(a) 0 cos(a)];              R3 = @(a)[ cos(a) sin(a) 0;               -sin(a) cos(a)  0;                  0      0     1];         R = R3(theta1)*R2(theta2)*R1(theta3); end function [theta, lambda] = DCMtoPRP(EA123toDCM)     theta = acos((1/2)*(trace(EA123toDCM)) - 1);    lambda =…

Provide matlab code and output.

Using MATLAB : Please explain the process of how you constructed your code and provide screenshots of the output, pictures and graph