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The Maxima on-line user's manual

Algebra Calculator

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Trigsimp

Function: trigsimp (<expr>) Employs the identities sin(x)^2 + cos(x)^2 = 1 and cosh(x)^2 - sinh(x)^2 = 1 to simplify expressions containing tan, sec, etc., to sin, cos, sinh, cosh.

r(t) := [10*cos(t),2*sin(t),t];
r(4);
float(r(4));
load(draw);
draw3d(color=magenta,parametric(-cos(t), sin(t),cos(t), t,-4, 4));
define(rp(t), diff(r(t), t));
float(rp(1));
load(eigen);
uvect(rp(t));
trigsimp(rp(t));
define(T(t), trigsimp(rp(t)));
define(Tp(t), diff(T(t), t));
uvect(Tp(t));
trigsimp(uvect(Tp(t)));

trigreduce, ratsimp, and radcan may be able to further simplify the result.

demo ("trgsmp.dem") displays some examples of trigsimp.

(%o1)                                true
(%i2) 

Related Examples

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lsg1: solve_rec(T[n]=...

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T(X):= X.(1/T12).T14...

trigsimp (X.(1/X));

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