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What are transcendental functions? How are they used?

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these are functions that produce transcendental numbers

transcendental numbers are "more irrational" than irrational numbers.

functions like trig functions cos 55 degrees yield transcendental numbers.

Other transcendental numbers are numbers like Pi and e.

both irrational and transcendental numbers are numbers that never repeat and never terminate, but irrational numbers can be expressed as "continued fractions" with the terms of the continued fraction actually reaching a point where they repeat.

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