computer science lab HW

ECE-206 (Friday), Spring 2016 Exercise #08 Page 1 of 1

Exercise #08: C++ Programming - User Defined Functions

Prelab: Preliminary C++ Program.

Given the McLaurin series

sin(x) = x – x3 /(3!) + x5 /(5!) – x7 /(7!) + x9 /(9!) + . . . where x is in radian.

cos(x) = 1 – x2 /(2!) + x4 /(4!) – x6 /(6!) + x8 /(8!) + . . . where x is in radian.

1. Write two functions g(x) = sin(x) and h(x) = cos(x) using the series above to obtain accuracy

to 5 decimal places.

2. Write a C++ program that uses the functions above to calculate f(n) for integer n = 0 to 6

where

f (n) = 5 g(n) * h(4000 π n + π /3)

= 5 sin(n) * cos(4000 π n + π /3) and 0 <= n <=6

Run Output Format Requirement

n 5 sin(n) cos(4000 π n + π /3) f(n)

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Material to Submit

Post Lab: Well documented and correct C++ program., and run output

Reference: sin(x) and cos(x) programs on the course website.

As always, have the instructor verify that your program work as intended.