Write a C program that calculates Taylor series approximations with first 5 terms for sine and cosine for an angle value user enters without using any part of math.h library.

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Q1) Consider that you are working on a project that uses math.h library for sine and cosine
calculation, but one of your project members accidentaly deleted math.h file from your
computer while removing old projects. Luckily you remember the Taylor Series approximation
of sine and cosine functions from Calculus course and taking the first 5 terms is good enough
for your calculation.
cos x
x²
x4
r8
1
2-6
-
-
2!
4!
6!
8!
x7
+
7!
sin x
-
3!
5!
9!
Write a C program that calculates Taylor series approximations with first 5 terms for sine and
cosine for an angle value user enters without using any part of math.h library.
Hint 1: Remember the Taylor series uses angle x in radians. Do not forget to convert degrees
to radian before calculation.
180°
radian
degree
Hint 2: You can define and use number PI in your code with “#define PI 3.14159".
Here is an example usage of the program you are supposed to write:
Please enter the angle in degrees: 60
cos (x): 0.50
sin(x): 0.87
Process exited after 5.425 seconds with return value e
Press any key to continue
Transcribed Image Text:Q1) Consider that you are working on a project that uses math.h library for sine and cosine calculation, but one of your project members accidentaly deleted math.h file from your computer while removing old projects. Luckily you remember the Taylor Series approximation of sine and cosine functions from Calculus course and taking the first 5 terms is good enough for your calculation. cos x x² x4 r8 1 2-6 - - 2! 4! 6! 8! x7 + 7! sin x - 3! 5! 9! Write a C program that calculates Taylor series approximations with first 5 terms for sine and cosine for an angle value user enters without using any part of math.h library. Hint 1: Remember the Taylor series uses angle x in radians. Do not forget to convert degrees to radian before calculation. 180° radian degree Hint 2: You can define and use number PI in your code with “#define PI 3.14159". Here is an example usage of the program you are supposed to write: Please enter the angle in degrees: 60 cos (x): 0.50 sin(x): 0.87 Process exited after 5.425 seconds with return value e Press any key to continue
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