![]() This could be due to complexity in the simplification process, or it could still be a safety concern, since I could at any point clear the assumption, and the equality would no longer hold. ![]() After the assumption is made that cos(x) ~= 0, MATLAB properly stated that tan(x) = sin(x)/cos(x) is true, yet it still didn't simplify the expression. The second result was surprising, though. Finding amplitude & midline of sinusoidal functions from their formulas. Assuming a general Sideband-Suppressed modulation case, we can take a case of modulating a simple sine wave message signal of frequency fm (say 0. % Place restriction on cos(x), and re-test MATLAB's behaviorĪs expected, it didn't simplify the function the first time because cos(x) may equal zero. Introduction to amplitude, midline, & extrema of sinusoidal functions. % Define the function, and test MATLAB's behavior % Create the symbolic variable and remove all assumptions placed on it. The trig functions sin, cos, and tan - among many others - work in radians, so the argument in the example is interpreted as 1 radian. Out of curiosity, I ran the following script: clc, clear The last Sage interact illustrates the circular function definitions of the six trigonometric functions. Therefore, at those values, tan(x) ~= sin(x)/cos(x). Maverick 385 4 15 Add a comment 2 Answers Sorted by: 2 I think I may have found a way to do this using collect it works in R2016a: syms T fi t real fun symfun (sin (T+fi)+cos (T+fi), T fi) fun expand (fun) fun2 collect (fun, cos (fi) sin (fi)) which returns (cos (T) + sin (T))cos (fi) + (cos (T) - sin (T))sin (fi). When x is in the set described above, it means cos(x) = 0, and sin(x)/cos(x) causes a division by zero error, whereas tan(x) approaches a value of inf. simplify(tan(x) = sin(x) / cos(x))īut instead, it returns ~x in Dom::ImageSet(pi*(k + 1/2), k, Z_) On that note, I'd expect the line below to also return TRUE. Look at this simple example: simplify(x=x) % Returns symbolic "TRUE" In this lecture i have explained what are the different trigonometry, inverse trigonometry and hyperbolic functions used in MATLAB. The sinusoid is plotted for values of x between 0 and 2 p the step. The issue here can be shown if you try to simplify your equality. You will see a sinusoid on the graphics window. Most of the simplifications you want MATLAB to do will happen when you call simplify, but the one you've posted has a minor problem. How to Type Trigonometric Functions in Degrees in matlab. The symbolic toolbox can do some incredible simplifications, including those that use trigonometric functions. MATLAB sin and sind Function In Matlab, the sin and sind function is used to find the sine of.
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