Trigonometric Table

Using the C++ math functions of sin, cos, and tan produce a formatted table of Sine, Cosine, and Tangent. The table should go from 0 to 360-degrees in steps of 10-degrees. You will need to use a loop for this homework.

To use the math functions please add the following include file to the top of your source file:

#include

This will add the function definitions for cos, sin, tan which are as follows:

double sin(x);

double cos(x);

double tan(x);

Where x is an angle in radians.

To convert from radians to degrees use this expression:

angle_in_radians = angle_in_degrees * PI / 180.0;

Sine Example: cout << sin(angle_in_radians) << endl;

For formatting you will need the advanced cout formatting flags/functions to format the table correctly.

Brief formatting

Add the proper header file after #include :

#include

to include these functions and flags.

You will be using the fixed, noshowpoint, showpoint, setw, and setprecision flags. Here are some examples. To output a float/double number with a fixed width of eight and four digits after the decimal point use the following:

double x = 1243.333333;

cout << fixed << setw(8) << setprecision(4) << x << endl;

Prints: 1243.3333

To output a float/double number with a fixed width of eight and no decimal point:

double x = 1243.333333;

cout << fixed << setw(8) << setprecision(0) << x << endl;

Prints: 1243

Sample Program Output:

This table uses the following formatting characteristics:

For Sine and Cosine use a width of 10 and a precision of 4

For Tangent use a width of 25 and a precision of 4

Degrees Sine Cosine Tangent

0 0.0000 1.0000 0.0000

10 0.1736 0.9848 0.1763

20 0.3420 0.9397 0.3640

30 0.5000 0.8660 0.5774

40 0.6428 0.7660 0.8391

50 0.7660 0.6428 1.1918

60 0.8660 0.5000 1.7321

70 0.9397 0.3420 2.7475

80 0.9848 0.1736 5.6713

90 1.0000 0.0000 16331239353195370.0000

100 0.9848 -0.1736 -5.6713

110 0.9397 -0.3420 -2.7475

120 0.8660 -0.5000 -1.7321

130 0.7660 -0.6428 -1.1918

140 0.6428 -0.7660 -0.8391

150 0.5000 -0.8660 -0.5774

160 0.3420 -0.9397 -0.3640

170 0.1736 -0.9848 -0.1763

180 0.0000 -1.0000 -0.0000

190 -0.1736 -0.9848 0.1763

200 -0.3420 -0.9397 0.3640

210 -0.5000 -0.8660 0.5774

220 -0.6428 -0.7660 0.8391

230 -0.7660 -0.6428 1.1918

240 -0.8660 -0.5000 1.7321

250 -0.9397 -0.3420 2.7475

260 -0.9848 -0.1736 5.6713

270 -1.0000 -0.0000 5443746451065123.0000

280 -0.9848 0.1736 -5.6713

290 -0.9397 0.3420 -2.7475

300 -0.8660 0.5000 -1.7321

310 -0.7660 0.6428 -1.1918

320 -0.6428 0.7660 -0.8391

330 -0.5000 0.8660 -0.5774

340 -0.3420 0.9397 -0.3640

350 -0.1736 0.9848 -0.1763

360 -0.0000 1.0000 -0.0000