pre calculus

Trigonometry

---- is a Greek word for triangle (trigonon) and measure (metron), so literally means "triangle measurement"

Displacement

---- is the amount by which the graph is shifted from the basic curve either to the right or to the left

Translation

---- is the amount by which the graph is shifted up or down from the basic curve. Also known as the vertical translation.

Latera Recta (LR)

---- line segments through passes through foci of the hyperbola and are perpendicular to its transverse axis.

Asymptotes of the hyperbola

-are lines the pass through the center of the hyperbola and are asymptotic to the curves

standard position

An angle is said to be in ---- if its vertex is at the origin of a rectangular coordinate system and its initial side coincides with the positive x-axis.

periodic function

A --- is a wavelike function that repeats a certain pattern in a horizontal direction at regular intervals.

center

A circle is a set of points equidistant from a fixed point within called the ---

vertex

An angle is the union of two rays meeting at a common point called ----

positive

An angle measured in counterclockwise direction is said to have a ---- measure

angle

An --- can have an infinite number of coterminal angles

angle

An ---- is the union of two rays meeting at a common point called vertex

Ellipse

When a plane intersects a double-napped cone and it is not parallel to any generator, the curve formed is a what?

Obtuse triangle

a triangle with one obtuse angle

Oblique triangle

a triangle without a right angle

Acute triangle

all angles are acute.

Acute triangle

Example is the equilateral triangle.

Acute angle

an angle between 0° to 90°

Hyperbola

If a plane cuts through the double- napped cone parallel to its axis, the figure formed is a what?

quadrantal angle

If the terminal side of an angle in standard position coincides with one of the axes such as 90°, 180°, 270° or 360°, it is called ----

coterminal angles

If two angles in standard position have the same terminal side, they are called ---

Reflex angle

an angle measuring 180° to 360°

Obtuse angle

an angle measuring between 90° to 180°

Trigonometry

It further includes mathematical investigation by means of the six trigonometric functions.

Trigonometry

It is a branch of mathematics which treats of the solution of triangles.

Straight angle

an angle measuring exactly 180°

periodic

Occurrences like the day and night cycle, the rhythm of heartbeat, the rotation of the planets and comets, high and low tides and the yearly changes of seasons and other phenomena that are ---- in nature or follow a definite pattern and repetition at a regular interval.

cycle

One complete repetition of the pattern is called a ----

Right angle

an angle measuring exactly 90°

frequency

The --- of a periodic function is the number of cycles completed in each interval.

period

The ---- is the length of the smallest interval that contains exactly one copy of the repeating pattern

amplitude

The ---- of a periodic function is the absolute value of one-half of the difference between its the maximum and minimum function values

branches

The curves (which we called the ---- of the hyperbola) approaches but do not cross these asymptotes

co-vertices B1 and B2

The endpoints of the conjugate axis are the

periodic function

The graph of sine and cosine are examples of ----

phase shift

The horizontal displacement is known as the ----

reference angle

The positive acute angle formed between the terminal side of the given angle and the x-axis.

terminal side (Ray 1), initial sides (Ray 2)

The rays are called the ---- and the ---- of an angle

degree measure

The size of an angle is indicated by the amount of rotating the terminal side from the initial side.

Center(C)

This is the midpoint between the foci, and also the midpoint between the two vertices and the endpoints of the conjugate axis.

vertical translation

Translation is the amount by which the graph is shifted up or down from the basic curve. Also known as the ----

vertices (A1 and A2)

Transverse axis- is the line segment joining the ---- and has a length of 2a.

trigonon

Trigonometry is a Greek word for triangle (----) and measure (metron), so literally means "triangle measurement"

metron

Trigonometry is a Greek word for triangle (trigonon) and measure (----), so literally means "triangle measurement"

triangle measurement

Trigonometry is a Greek word for triangle (trigonon) and measure (metron), so literally means -----

Right triangle

a triangle with a right angle

Round angle or complete angle

angle measuring exactly 360°

Latera Recta (LR)

are chords that passes through foci of the ellipse and is perpendicular to its major axis

Vertices (A1 and A2)

are the endpoints of the major axis.

Co-vertices (B1 and B2)

are the endpoints of the minor axis.

2b

conjugate axis is equal to?

negative

if the direction is clockwise, the measure is ----

degree measure

is indicated by a tiny circle (°)placed in the upper right corner of the number.

Center(C)

is the intersection of the transverse axis and conjugate axis.

Semi-minor axis (b)

is the length from center to one co-vertex.

Focal length (c)

is the length from center to one focus.

Semi-major axis (a)

is the length from center to one vertex.

Transverse axis

is the line segment joining the vertices (A1 and A2) and has a length of 2a.

Hyperbola

is the set of all points such that the difference of the distances from two fixed points is constant

major and minor axis

two axes of symmetry of an ellipse

Conjugate axis

line that is perpendicular bisector of the transverse and has a length of 2b

2a

major axis is equal to?

2b

minor axis is equal to?

height

the amplitude also indicates the --- of the graph

Semi-conjugate axis (b)

the distance from center to one endpoint of the conjugate axis

Semi- transverse axis (a)

the distance from center to one vertex

center

the intersection of the two axes of symmetry

major axis

the longer axis which always contains the foci, vertices, and the center of the ellipse

Ellipse

the set of all points on a plane such that the sum of the distances of its points from two fixed points is constant

minor axis

the shorter axis which is also perpendicular bisector of the major axis

center

this is the midpoint between the foci, and also the midpoint between the two vertices.

2a

transverse axis is equal to?