In this problem, i will lead you through a procedure that allows you to write the function f(x)=(1.5 m) cos(kx - #/3) + (3 m) sin(kx - 7/4) in cosine form. this method can be extended to write the sum of any number of sinusoidal functions of the same spatial frequency as a single cosine function. a) write (1.5 m) cos(kx - 7/3) in quadrature form. b) write (3 m) sin(kx - 7/4) in quadrature form. c) combine the results of a) and b) to write f(x) in quadrature form. d) write the result from c) in cosine form.

Explanation:

In positional number system,

1. each symbol represents different value depending on the position they occupy in a number.

2. In positional number system, each system has a value that relates to the number directly next to it. The total value of a positional number is the total of the resultant value of all positions.

3. Example: 12 can be 1 x 10 + 2 x 1, 10 + 2= 12

whereas in Non-Positional number

1. In non-positional number system, each symbol represents the same value regardless of its position

2. In non-positional number system each symbol represents a number with its own place value.

3. Example: Roman number system where I for 1, II for 2 etc.

~~