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tino4ka555 [31]
3 years ago
7

How does the unit circle allow the trigonometric functions to be defined for all real numbers instead of just for acute angles?

Mathematics
1 answer:
Molodets [167]3 years ago
8 0

Every point in the unit circle is identified either by its coordinates (x,y) or by the angle it forms with the x-axis, \alpha.

The trigonometric functions associate with every angle \alpha and the correspondant (x,y) coordinates the two values

\cos(\alpha)=x,\quad\sin(\alpha)=y

This procedure can be done for every angle \alpha, so you don't have to work with acute angles only.

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