Solving a trigonometric equation

trigonometry

asked 2016-08-12 19:48:56 +0100

Romuald_314
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How to solve a trigonometric equation like 2*(1-sin(x)) == 1-cos(x)

I've tried all possible commands in sage, I couldn't obtain any value while the geogebra's algebra system solves it very well for instance. Yet I don't think sage is less powerful than geogebra to solve equations...

Thx for answers.

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answered 2016-08-12 20:23:26 +0100

kcrisman
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updated 2016-08-12 20:23:42 +0100

In the documentation for solve there is an option which often helps solve these kinds of equations.

F = 2*(1-sin(x)) == 1-cos(x)
solve(F,x,to_poly_solve=True)

You should get something like

[x == pi + 2*pi*z38, x == 2*pi*z40 + arctan(4/3)]

where the z38 means an integer parameter.

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thank you!

Romuald_314 ( 2016-08-12 20:31:33 +0100 )edit

Great! If this solved your issue, you should click the check mark so that others coming to the question will immediately see it has been answered.

kcrisman ( 2016-08-15 15:18:47 +0100 )edit

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Asked: 2016-08-12 19:48:56 +0100

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Last updated: Aug 12 '16

Solving a trigonometric equation edit