Reference no: EM131049339

Assignment:  C++ - User Functions

Given:   tanh(x ) = 1 - 2 e^-2x + 2 e^-4x - 2 e^-6x + 2 e^-8x - 2 e^-10x   + ....
cos(x) = 1 - x² / (2!) + x⁴ /(4!) - x⁶  /(6!) + x⁸ /(8!) +  ....
where   0 ≤  x  < 2 π

Write two functions:

tanh(ax) where a and x are passed to the function and
cos(ax)  where a and x are passed to the function.

The functions must give answers that are accurate at least to six significant digits.

Write a program to test the functions by computing F = 5 tanh(ax) + 4 cos(ax) where 0 ≤ x < 2 π with the values of a and x entered by the user.

Check the answer with a calculator.

Check the functions with these data:

a	X	F
0	0	4
2.78	0	4
0	2.78	4
1	2.78	1.220321454
1.5	2.6	2.092175112
3.78	1	1.782610497

For your reference, read ex, sin(x) and cos(x) functions at www.csun.edu/~glaw and see how these functions are written.