chapter 8 vocab

Question 1

the angle between the line of sight and the horizontal when an observer looks downward

Answer 1

angle of depression

Question 2

the angle between the line of sight and the horizontal when an observer looks upward

Answer 2

angle of elevation

Question 3

for an acute angle of a right triangle, the ratio of the measure of the leg adjacent to the acute to the measure of the hypotenuse

Answer 3

cosine

Question 4

the inverse function of cosine or cos-1. if the cosine of an acute <A is equal to X, then cos-1 is equal to the measure of <A

Answer 4

inverse cosine

Question 5

the inverse function of sine, or sine-1. if the sine of an acute <A is equal to X then sin-1 X is equal to the measure of <A

Answer 5

inverse sine

Question 6

the inverse function of tangent, or tan-1 if the tangent of an acute <A is equal to X, then tan-1 X is equal to the measure of <A

Answer 6

inverse tangent

Question 7

a group of three whole numbers that satisfies the equation a2+b2=c2 where c is the greatest number

Answer 7

Pythagorean triple

Question 8

for an acute angle of a right triangle, the ratio of the measure of the leg opposite the acute to the measure of the hypotenuse

Answer 8

sine

Question 9

1. for an acute angle of a right triangle, the ratio of the measure of the leg opposite the acute angle to the measure of the leg adjacent to the acute
2. A line in plane of a circle that intersects the circle in exactly one point. the point of intersection is called the point of tangency

3.a line that intersects a sphere in exactly one point

Answer 9

tangent

Question 10

a ratio of the length of sides of a right triangle

Answer 10

trigonometric

Question 11

the study of the properties of triangles and trigonometric functions and their applications

Answer 11

trigonometry