Unit Circle and Radians Practice Flashcards

Question 1

What is a radian?

Accepted Answer

One radian is the measure of a central angle that subtends an arc of length equal to the radius of the circle.

Question 2

What is a coterminal angle, and how do you generate all coterminal angles?

Accepted Answer

Coterminal angles share the same terminal side. All coterminal angles: $$	heta + 2\pi k$$ (radians) or $$	heta + 360^\circ k$$ (degrees), where $k\in\mathbb{Z}$.

Question 3

When do you use reference angles and quadrant signs to find trig values?

Accepted Answer

Use them to find exact values of $\sin	heta$, $\cos	heta$, $	an	heta$ for angles outside QI (or outside $[0,2\pi)$) by reducing to an acute reference angle and applying the correct sign from the quadrant.

Unit Circle and Radians Practice Flashcards

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