#Trig functions in matlab code

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. The trig functions sin, cos, and tan - among many others - work in radians, so the argument in the example is interpreted as 1 radian. 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. % 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. % Define the function, and test MATLAB's behavior Finding amplitude & midline of sinusoidal functions from their formulas. % Create the symbolic variable and remove all assumptions placed on it. Introduction to amplitude, midline, & extrema of sinusoidal functions.

#Trig functions in matlab code

> tan (pi/4) ans 1.0000 You can use the functions deg2rad and rad2deg to convert between radians and degrees. And please dont post just use cos (x) This is a simple example showing what Im trying to do, the real code is about 500 lines with multiple functions that it calls. In this case, the frequency components come from the two sinusoids: sind (3.2x) 3.2 times for every 360° 112.5° per period. Try sind, or atan2d for the degree versions of sin. Out of curiosity, I ran the following script: clc, clear Trig Functions Like Excel, and most other programming environments, trig functions in MATLAB work with radians. The period can be found after finding the fundamental frequency by taking reciprocal. MATLAB conveniently defines versions of the common trig functions which take and produce values in degrees. Therefore, at those values, tan(x) ~= sin(x)/cos(x). 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_) You can call sind () or cosd () in a symbolic expression, provided it is at the MATLAB level (not in a string that has. On that note, I'd expect the line below to also return TRUE. If you are wanting to substitute a numeric value for th5 then use subs (), possibly in conjunction with vpa () or double () subs (TheMatrix, th5, 1.238343) put in a particular numeric value.

Look at this simple example: simplify(x=x) % Returns symbolic 'TRUE' The issue here can be shown if you try to simplify your equality. 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. In computer programming languages, the inverse trigonometric functions are often called by the abbreviated forms asin, acos, atan. The symbolic toolbox can do some incredible simplifications, including those that use trigonometric functions.