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.