Trigonometry Essentials Flashcards (11 cards)

All cards

1Question

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

Answer

The radius is 1.

2Question

What is the positive direction on the trigonometric circle?

Answer

Counterclockwise is the positive direction.

3Question

What does a radian measure on the unit circle?

Answer

An arc length on the unit circle.

4Question

What is the conversion relation between radians and degrees?

Answer

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

5Question

Unit circle radius

Answer

Radius is 1, circumference is 2π.

6Question

Radian-degree relation

Answer

π radians = 180°.

7Question

Coterminal angles

Answer

x + 2kπ, k in integers.

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

Answer 11 questions on Trigonometry Essentials.

1. What defines the unit circle?

2. What is the arc length of a half-turn on the unit circle?

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