[Merged by Bors] - feat(analysis/special_functions/trigonometric/angle): continuity and signs #16204
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…signs Add the lemmas that `real.angle.sign` is continuous away from 0 and π, and thus that any function to angles that is continuous on a connected set and does not take the value 0 or π on that set produces angles with constant sign on that set (this is a general principle for use in proving results about when two oriented angles in a geometrical configuration must have the same sign).
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…signs (#16204) Add the lemmas that `real.angle.sign` is continuous away from 0 and π, and thus that any function to angles that is continuous on a connected set and does not take the value 0 or π on that set produces angles with constant sign on that set (this is a general principle for use in proving results about when two oriented angles in a geometrical configuration must have the same sign).
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…signs (#16204) Add the lemmas that `real.angle.sign` is continuous away from 0 and π, and thus that any function to angles that is continuous on a connected set and does not take the value 0 or π on that set produces angles with constant sign on that set (this is a general principle for use in proving results about when two oriented angles in a geometrical configuration must have the same sign).
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Add the lemmas that
real.angle.signis continuous away from 0 and π,and thus that any function to angles that is continuous on a connected
set and does not take the value 0 or π on that set produces angles
with constant sign on that set (this is a general principle for use in
proving results about when two oriented angles in a geometrical
configuration must have the same sign).