computer science HW

ECE-206 HW-11A Page 1 of 1

HW-11A: 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.