Activity 1.3.
How do you find the sine of an angle in MATLAB,
-
where the angle is given in radians (for example, \(sin(\frac{\pi}{6})\))?
-
where the angle is given in degrees (for example, \(sin(30\deg)\))?
Section 1.6 Elementary Built-In Math Functions
MATLAB has a very large library of built in functions.
Elementary math functions:
-
sqrt(x) -
exp(x) -
abs(x) -
log(x) -
log10(x) -
factorial(n)
Trigonometric math functions
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sin(x) -
cos(x) -
tan(x) -
cot(x) -
asin(x) -
acos(x) -
atan(x) -
acot(x) -
sinh(x) -
cosh(x) -
tanh(x) -
coth(x) -
Note: adding
dto any of the above function names will produce results in degrees, i.e.sind(x)
There are lots of other mathematical built-in functions in MATLAB. Use the help function to learn more.
Many functions can help with various ways of rounding in MATLAB.
| Function | Description | Example |
round(x) |
round to the nearest integer \((.5 \leq x \lt 1.5 = 1)\)
|
>> round(17/5) ans = 3 |
fix(x) |
round towards zero (truncate)
|
>> fix(13/5) ans = 2 |
ceil(x) |
round towards infinity (like fix for x < 0)
|
>> ceil(11/5) ans = 3 |
floor(x) |
round towards minus infinity (like fix for x > 0)
|
>> floor(-9/4) ans = -3 |
rem(x,y) |
remainder after x is divided by y
|
>> rem(13,5) ans = 3 |
sign(x) |
1 if x > 0, -1 if x < 0, and 0 if x = 0
|
>> sign(5) ans = 1 |
