Math 166 - Lesson 1.1 Basic Concepts Flashcards

1
Q

is a fundamental branch of mathematics that deals with the
relationships between angles and sides of triangles.

A

Trigonometry

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2
Q

With the development of calculus and the physical sciences, a different
perspective aroseβ€”one that viewed the classic trigonometric relationships as
_________ with the set of real numbers as their domains.

A

Functions

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3
Q

A point 𝑃 on a line separates the line into two parts, each of
which is called a (1._____). The union of point P and the half-
line formed by P that includes point A is called a (2._____), and it is
represented as 𝑃𝐴. The point 𝑃 is called the endpoint of 𝑃𝐴.

A

1.) Half line 2.) ray

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4
Q

An angle is defined as the union of two rays that have a common endpoint called?

A

Vertex

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5
Q

An _____ is formed by rotating a given ray about its endpoint to some terminal position.

A

Angle

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6
Q

The original ray is the _____ side of the angle.

A

Initial

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7
Q

the second ray is the _____ side of the angle.

A

Terminal

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8
Q

Angles formed by a counterclockwise rotation are considered?

A

Positive angles

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9
Q

Angles formed by a clockwise rotation are considered?

A

Negative angles

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10
Q

The _____ of an angle is determined by the amount of rotation of the initial
side.

A

Measure

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11
Q

180 degree angles are?

A

straight angles.

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12
Q

90 degree angles are?

A

right angles

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13
Q

Angles that have a measure greater than 0 degrees but less than 90 degrees are?

A

acute angles

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14
Q

Angles that have a measure greater than 90 degrees but less than 180 degrees are?

A

obtuse angles.

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15
Q

An angle superimposed in a
Cartesian coordinate system is
in _____ position if its
vertex is at the origin and its
initial side is on the positive x-
axis

A

Standard

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16
Q

Two positive angles are
_____ angles if the
sum of the measures of the
angles is 90o. Each angle is the
complement of the other
angle.

A

Complementary

17
Q

Two positive angles are
_____ angles if the sum
of the measures of the angles is
180o. Each angle is the
supplement of the other angle

A

Supplementary

18
Q

If the terminal side of an angle in
standard position lies on a
coordinate axis, then the angle is
classified as a

A

Quadrantal angle

19
Q

Angles in standard position
that have the same sides are?

A

Coterminal angles

20
Q

To convert radians to degrees, multiply by?

A

Degrees = Radians x 180 degrees / Ο€

21
Q

To convert degrees to radians, multiply by?

A

Radians = Degrees x Ο€ / 180 degrees