What is the unit circle?

The unit circle is a circle with a radius of 1 centered at the origin of the coordinate plane, used to define trigonometric functions.

What is the significance of the 45-45-90 triangle?

In a 45-45-90 triangle, the lengths of the legs are equal, and the length of the hypotenuse is $$\text{leg} \times \text{sqrt}(2)$$ .

What is the significance of the 30-60-90 triangle?

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1: $$\text{sqrt}(3)$$ :2.

What is the Law of Sines?

The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant: $$\frac{a}{\text{sine}(A)} = \frac{b}{\text{sine}(B)} = \frac{c}{\text{sine}(C)}$$ .

What is the Law of Cosines?

The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles: $$c^2 = a^2 + b^2 - 2ab \times \text{cos}(C)$$ .

What is the definition of an angle's reference angle?

The reference angle is the acute angle formed by the terminal side of the angle and the x-axis.

What is the relationship between the angles in a triangle?

The sum of the interior angles in a triangle is always 180 degrees.

What is the definition of complementary angles?

Complementary angles are two angles whose measures add up to 90 degrees.

ECC Trigonometry | Checkpoint #1 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle in which one of the angles measures 90 degrees.

2.

FLASHCARD QUESTION

Front

What is the Pythagorean theorem?

Back

3.

FLASHCARD QUESTION

Front

What is the sine function in a right triangle?

Back

4.

FLASHCARD QUESTION

Front

What is the cosine function in a right triangle?

Back

5.

FLASHCARD QUESTION

Front

What is the tangent function in a right triangle?

Back

6.

FLASHCARD QUESTION

Front

What is the relationship between sine and cosine?

Back

7.

FLASHCARD QUESTION

Front

What is the definition of an angle in standard position?

Back

An angle in standard position has its vertex at the origin and its initial side along the positive x-axis.

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