Unit5Vocabulary

Question 1

Inverse Cosine

Answer 1

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)

Question 2

Angle of Depression

Answer 2

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

Question 3

Pi

Answer 3

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…

Question 4

Inverse Tangent

Answer 4

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)

Question 5

Sine

Answer 5

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

Soh Cah Toa

Question 6

Side-Side-Angle

Answer 6

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.

Question 7

Cosine

Answer 7

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

Soh Cah Toa

Question 8

Law of Cosine

Question 9

Quotient Identities

Question 10

Radian

Answer 10

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

Question 11

Tangent

Answer 11

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

Soh Cah Toa

Question 12

Terminal Side

Question 13

Obtuse Triangle

Answer 13

A triangle that has one angle greater than 90°.

Question 14

Side-Side-Side

Answer 14

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

Question 15

Phase Shift

Answer 15

The horizontal translation of a trigonometric function.

Question 16

Arc Length

Question 17

Cosecant

Answer 17

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

Question 18

Asymptote

Answer 18

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.

Question 19

Negative Angle Identities

Question 20

Negative Angles

Answer 20

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.

Question 21

Circumference

Question 22

Coterminal Angles

Question 23

Pythagorean Theorem

Answer 23

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

Question 24

Inverse Sine

Answer 24

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)

Question 25

Reference Angle

Answer 25

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.

Question 26

Standard Position

Answer 26

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

Question 27

Cotangent

Answer 27

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

Question 28

Angle-Angle-Side

Answer 28

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.

Question 29

Side-Angle-Side

Answer 29

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.

Question 30

Oblique Triangle

Answer 30

A triangle without any 90° angles.

Question 31

Radius

Answer 31

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

Question 32

Law of Sine

Question 33

Secant

Answer 33

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

Question 34

Initial Side

Answer 34

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

Question 35

Area of a Circle

Question 36

Clinometer

Answer 36

A device that measures angles of elevation or depression.

Question 37

Period

Answer 37

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

Question 38

Angle-Side-Angle

Answer 38

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.

Question 39

Degree

Answer 39

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.

Question 40

Acute Triangle

Answer 40

A triangle with all angles measuring less than 90°.

Question 41

Squared Trignometric Functions

Answer 41

A notation to denote the squaring of the output of a trigonometric function. _Ex_: **cos²(x)** is the same as (cos(x))²

Question 42

Amplitude

Answer 42

For a sine or cosine graph this is defined as: A = _Maximum - Minimum_ 2

Question 43

Cofunction Identities

Question 44

Angle of Elevation

Answer 44

The angle between the horizontal axis up to an object.

Question 45

Angle-Angle-Angle

Answer 45

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.

Question 46

Pythagorean Identities

Question 47

Right Triangle

Answer 47

A triangle with one angle equal to 90°.

Question 48

Unit Circle

Answer 48

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