Euler identity M*exp(i * theta) = a + i*b a) express M & theta in terms of a & b

Question

Euler identity M*exp(i * theta) = a + i*b a) express M & theta in terms of a & b. write a MATLAB program that evaluates M & theta but requires for the values of interactively. express a & b to be entered interactively. b) express a & b in terms of M & theta. write a MATLAB program that evaluates a & b but requires for the values of M & theta to be entered interactively. Write a MATLAB function that finds the roots of a quadratic equation a* x^2 + b*x + c after inputing the values of a, b, and c. i) a = l b = 2 c = 3 ii) a = 3 b = 5 c = 1 and check using other ways weather the outcome is correct. Experiment with the functions in section 1-4 and write a brief explanation for each function.

Explanation / Answer

1)

M*exp(i*theta) = a + i*b

M*(Cos(theta) + i*(Sin(theta)) = a + ib

M*cos(theta ) = a

M*sin(theta) = b

tan(theta ) = (b/a)

theta = tan-1(b/a)

M = b / sin(theta)

Prog(a)

a = input('Enter a');
b = input('Enter b');

c = b/a;
theta = atand(c);
M = b / (sin(theta));

disp(theta);
disp(M);

Prog(b)

M = input('Enter M');
theta = input('Enter theta');

a = M*cosd(theta);
b = M*sind(theta);

disp(a);
disp(b);

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.