Use the above three functions to find the taylor expansion of sine for in degrees as given above.(Calculate first 3 terms)

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​Q. Taylor Series expansion of sine for x is computed as follows:

            sin x=x - x^3/3! + x^5/5! - x^7/7!+...

    Let the value of x be 30, hence radian value for 30 degree is 0.52359

    sin(0.52359) = 0.52359 - 0.52359^3/3! + 0.52359^5/5! - 0.52359^7/7!+ ... 

(a)Write a function in c++ that takes value of x in degrees and returns the value of x in radians.

(b)Write a function in c++ that calculates and returns the factorial of a number.e.g. 3!=6

(c)Write a function in c++ that calculates and returns power of a number. e.g. 23=8.

(d)Use the above three functions to find the taylor expansion of sine for in degrees as given above.(Calculate first 3 terms)

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