Question

Use the MATLAB function roots to find all the roots of the equation

13-0.5-√3/210 where 1 = √1
Compare with the exact solution
cos((π/3+2лk)/3) + sin((7/3+2лk)/3} for k = 0, 1, 2.
Use an accuracy of 10-4.

Answer 1

The roots of the equation 12.5 - √3/210 can be found using the MATLAB function roots. The roots are given by the formula x = cos((π/3+2лk)/3) + sin((7/3+2лk)/3), where k is an integer.

Step-by-step explanation:

The equation 13-0.5-√3/210 can be rewritten as 12.5 - √3/210.

Using the MATLAB function roots, we can find the roots of this equation. The roots are:

x = cos((π/3+2лk)/3) + sin((7/3+2лk)/3)

where k = 0, 1, 2.