Essentials  (Page 2/4)

Calculate the following quantities:

1. \frac{2^3}{3^2-1} ,
2. $5^{0.5}-1$
3. $\frac{\pi }{4}d^2$ for d=2

MATLAB inputs and outputs are as follows:

1. \frac{2^3}{3^2-1} is entered by typing 2^3/(3^2-1) (ans = 1)
2. $5^{0.5}-1$ is entered by typing sqrt(5)-1 (ans = 1.2361)
3. $\frac{\pi }{4}d^2$ for d=2 is entered by typing pi/4*2^2 (ans = 3.1416)

Calculate the following exponential and logarithmic quantities:

1. $e^2$
2. $\ln 5^{10}$
3. $\lg 10^5$

MATLAB inputs and outputs are as follows:

1. exp(2) (ans = 7.3891)
2. log((5^10)) (ans = 16.0944)
3. log10(10^5) (ans = 5)

Calculate the following trigonometric quantities:

1. $\cos \left(\frac{\pi }{6}\right)$
2. $\tan 45$
3. $\sin \pi +\cos 45$

MATLAB inputs and outputs are as follows:

1. cos(pi/6) (ans = 0.8660)
2. tan(45*pi/180) (ans = 1.0000)
3. sin(pi)+cos(45*pi/180) (ans = 0.7071)

Calculate $\theta =\tan \left(\frac{\pi }{3}\right)$ and display results in short and long formats.

The short format is set by default:

And the long format is turned on by typing format long :

a = 1

Let's type the following at the command prompt:

b = [1 2 3 4 5]

We can also use the New Variable button to assign a row vector. In the tool strip, select Home>New Variable. This action will create a variable called unnamed which is displayed in the workspace. By clicking on the title unnamed, we can rename it to something more descriptive. By double-clicking on the variable, we can open the Variable Editor and type in the values into spreadsheet looking table.