Recall your high school trig, and let\'s explore how Matlab calculates trig func

Question

Recall your high school trig, and let's explore how Matlab calculates trig functions. a. In Matlab, calculate sin(30) and sin(pi/6). What units does Matlab use for the sin 1. function? b. Now try sind(30) and sind(pi/6). How does sind differ from sin? Try sin(pi/6+2*pi). Does this make sense? c. d. Try asin(0.5). Does this make sense? 2. Defining variables. Try this out : x-2+3.14; y-1+x; x=5; What is y now? Comment on why it does not equal 6. 3. Formatting and significant digits. Let's define two variables. x-1/3, and y-0.333333. a. When you look in the workspace pane or if you type x and y into the command prompt, what do you see? Do you think x and y are really equal? b. Now change the format to long, and type x and y into the command prompt. Now do you think they are equal? Change the format back to short and determine x-y. Comment on your answer. c.

Explanation / Answer

SOLUTION TO PROBLEM (1)

(a)CODE

**************************************

sin(30)
sin(pi/6)

********************************

OUTPUT

ans =

-0.9880

ans =

0.5000

Matlab takes values in radians if 'sin()' is used.

b)CODE

*******************************************

sind(30)
sind(pi/6)

************************************************

OUTPUT

ans =

0.5000

ans =

0.0091

'sind()' takes angles in degrees.

c)CODE:

*********************************************

sin(pi/6+2*pi)

****************************************************

OUTPUT

ans =

0.5000

yes,it give output by calculating the total value in the bracket in radians.

d)CODE

***********************************************************

asin(0.5)

******************************************

OUTPUT;

ans =

0.5236

'asin()' gives inverse of sine value in radians.

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