Math 166 - Lesson 1.1 Basic Concepts Flashcards
(21 cards)
is a fundamental branch of mathematics that deals with the
relationships between angles and sides of triangles.
Trigonometry
With the development of calculus and the physical sciences, a different
perspective aroseβone that viewed the classic trigonometric relationships as
_________ with the set of real numbers as their domains.
Functions
A point π 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 ππ΄. The point π is called the endpoint of ππ΄.
1.) Half line 2.) ray
An angle is defined as the union of two rays that have a common endpoint called?
Vertex
An _____ is formed by rotating a given ray about its endpoint to some terminal position.
Angle
The original ray is the _____ side of the angle.
Initial
the second ray is the _____ side of the angle.
Terminal
Angles formed by a counterclockwise rotation are considered?
Positive angles
Angles formed by a clockwise rotation are considered?
Negative angles
The _____ of an angle is determined by the amount of rotation of the initial
side.
Measure
180 degree angles are?
straight angles.
90 degree angles are?
right angles
Angles that have a measure greater than 0 degrees but less than 90 degrees are?
acute angles
Angles that have a measure greater than 90 degrees but less than 180 degrees are?
obtuse angles.
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
Standard
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.
Complementary
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
Supplementary
If the terminal side of an angle in
standard position lies on a
coordinate axis, then the angle is
classified as a
Quadrantal angle
Angles in standard position
that have the same sides are?
Coterminal angles
To convert radians to degrees, multiply by?
Degrees = Radians x 180 degrees / Ο
To convert degrees to radians, multiply by?
Radians = Degrees x Ο / 180 degrees
