# Unit5Vocabulary Flashcards

1
Q

Inverse Cosine

A

The inverse of the cosine function that will take a trigonometric ratio as input and produce the angle associated with that ratio. Denoted with a -1 superscript:

cos-1(x)

2
Q

Angle of Depression

A

The angular measurement between the horizontal axis down to an object.

3
Q

Pi

A

The angular distance between the positive x axis and the negative x axis in radians. Denoted by the Greek letter π it is an irrational number starting with the value 3.1415926…

4
Q

Inverse Tangent

A

The inverse of the tangent function that will take a trigonometric ratio as input and produce the angle associated with that ratio. Denoted with a -1 superscript:

tan-1(x)

5
Q

Sine

A

Sine of an angle is defined as the ratio of the opposite side over the hypotenuse.

Soh Cah Toa

6
Q

Side-Side-Angle

A

This is the case where you have the values of 2 sides and an angle in sequence as you rotate around a triangle in either the clockwise or counter-clockwise direction. This triangle can be solved with the Law of Sines but is known as the Ambiguous case since two possible triangles exist with the same 2 sides and angle.

7
Q

Cosine

A

Cosine of an angle is defined as the ratio of the adjacent side over the hypotenuse.

Soh Cah Toa

8
Q

Law of Cosine

A
9
Q

Quotient Identities

A
10
Q

A

The angular distance of a sector of a circle where the arc length of the sector is equal to the length of the radius.

11
Q

Tangent

A

Tangent of an angle is defined as the ratio of the opposite side over the adjacent side.

Soh Cah Toa

12
Q

Terminal Side

A
13
Q

Obtuse Triangle

A

A triangle that has one angle greater than 90°.

14
Q

Side-Side-Side

A

This is when you have the value of all 3 sides of a triangle. This triangle can be solved using the Law of Cosines.

15
Q

Phase Shift

A

The horizontal translation of a trigonometric function.

16
Q

Arc Length

A
17
Q

Cosecant

A

Represented by the letters csc it is an inverse identity as defined below:

18
Q

Asymptote

A

A value of the domain for which a function is undefined or for which the range of a function will never exceed. On a graph it is noted as a dotted line which the function’s graph never touches.

19
Q

Negative Angle Identities

A
20
Q

Negative Angles

A

The angles formed in a unit circle starting with an initial side of the positive x axis and rotating in the clockwise direction around the unit circle.

21
Q

Circumference

A
22
Q

Coterminal Angles

A
23
Q

Pythagorean Theorem

A

The sum of the squares of the legs of a right triangle are equal to the hypotenuse squared.

24
Q

Inverse Sine

A

The inverse of the sine function that will take a trigonometric ratio as input and produce the angle associated with that ratio. Denoted with a -1 superscript:

sin-1(x)

25
Q

Reference Angle

A

The angle formed between the terminal side of an angle and the x axis when a perpendicular line is dropped to the x axis from the terminal side.

26
Q

Standard Position

A

An angle is in standard position if its vertex is located at the origin and one ray is on the positive x-axis.

27
Q

Cotangent

A

Represented by the letters cot it is an inverse identity as defined below:

28
Q

Angle-Angle-Side

A

In any given triangle, it is when you have the value of 2 angles and 1 side in sequence as you rotate clockwise or counter-clockwise around a triangle. This type of triangle can be solved using the Law of Sines.

29
Q

Side-Angle-Side

A

When you have the values of 2 sides and the angle between them in a triangle. This triangle can be solved with the Law of Cosines.

30
Q

Oblique Triangle

A

A triangle without any 90° angles.

31
Q

A

The linear distance between the center of a circle and its side.

32
Q

Law of Sine

A
33
Q

Secant

A

Represented by the letters sec it is an inverse identity as defined below:

34
Q

Initial Side

A

The side of an angle that is on the positive x axis in the unit circle.

35
Q

Area of a Circle

A
36
Q

Clinometer

A

A device that measures angles of elevation or depression.

37
Q

Period

A

Defined as the positive x value for which a trigonometric function begins to repeat itself.

38
Q

Angle-Side-Angle

A

In any given triangle, it is when you have the value of 2 angles and the side in between them. This type of triangle can be solved using the Law of Cosines.

39
Q

Degree

A

Is an angle measurement where the angular distance of a full circle is partitioned into 360 equal parts. One of those parts is considered 1 degree. A degree can be converted to radians using the following:

r/π = d/180

Where r is measurement in radians and d is measurement in degrees.

40
Q

Acute Triangle

A

A triangle with all angles measuring less than 90°.

41
Q

Squared Trignometric Functions

A

A notation to denote the squaring of the output of a trigonometric function.

Ex: cos2(x) is the same as (cos(x))2

42
Q

Amplitude

A

For a sine or cosine graph this is defined as:

A = Maximum - Minimum

`                 2`
43
Q

Cofunction Identities

A
44
Q

Angle of Elevation

A

The angle between the horizontal axis up to an object.

45
Q

Angle-Angle-Angle

A

A condition of a triangle where you know all three angles but no sides. This triangle cannot be solved since there are an infinite number of possible solutions.

46
Q

Pythagorean Identities

A
47
Q

Right Triangle

A

A triangle with one angle equal to 90°.

48
Q

Unit Circle

A

A circle with a radius of 1 unit typically inscribed on the cartesian coordinates with the center at the origin.