Flashcards: Trigonometry Essentials — 11 cards

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1Question

What is the radius of the unit circle centered at the origin?

Answer

The radius is 1.

2Question

Unit circle radius

Answer

Radius is 1, circumference is 2π.

3Question

What is the positive direction on the trigonometric circle?

Answer

Counterclockwise is the positive direction.

4Question

Radian-degree relation

Answer

π radians = 180°.

5Question

What does a radian measure on the unit circle?

Answer

An arc length on the unit circle.

6Question

Coterminal angles

Answer

x + 2kπ, k in integers.

7Question

What is the conversion relation between radians and degrees?

Answer

π radians=180\pi\text{ radians}=180^\circ.

8Question

Principal measure interval

Answer

Angles in [-π, π].

9Question

Sine on circle

Answer

Vertical coordinate of point.

10Question

Cosine on circle

Answer

Horizontal coordinate of point.

11Question

Arc length of half-turn

Answer

π radians.

Test yourself with the quiz

Test your knowledge with 11 questions on Trigonometry Essentials.

1. What defines the unit circle?

2. What is the length of an arc on the unit circle corresponding to a quarter-turn?

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