Unit 13 Vocabulary

Question 1

If two angles in a triangle are congruent,…

Answer 1

Then the two sides that are across from those angles are congruent (and vice versa)

Question 2

The shortest side in a triangle is always across from…

Answer 2

The most acute angle

Question 3

45-45-90 triangle pattern

Answer 3

Hypotenuse- m root 2

Other sides - m

Question 4

30-60-90 triangle

Answer 4

Hypotenuse- 2 times m
30 degree side- m
60 degree side- m root 3

Question 5

Ratios for Sin, Cos, and Tan

Answer 5

Sin = opposite / hypotenuse
Cos= adjacent / hypotenuse
Tan= opposite / adjacent

Question 6

When asked to solve a right triangle,…

Answer 6

Find all three sides and all three angles.

Question 7

sin30 =

Answer 7

1/2 or root1/2

Question 8

cos30=

Answer 8

root3/2

Question 9

tan30=

Answer 9

root3/3

Question 10

sin 45=

Answer 10

root2/2

Question 11

cos 45=

Answer 11

root2/2

Question 12

tan45=

Answer 12

1

Question 13

sin60=

Answer 13

root3/2

Question 14

cos60=

Answer 14

1/2 or root1/2

Question 15

tan60=

Answer 15

root3

Question 16

How to know if the answer should be negative or not when dealing with sin, cos, and tan in the quadrants

Answer 16

All(all answers should be positive)
Students(only sin is positive.. and so on)
Take
Calculus
(Going around the quadrants in counterclockwise order)

Question 17

What says the angle of elevation is equal to the angle of depression

Answer 17

The Alternate Interior Angles Theorem

Question 18

Fixed ray

Answer 18

The initial side of an angle

Question 19

Rotating ray

Answer 19

Terminal side of an angle

Question 20

Standard Position

Answer 20

An angle with its vertex at the origin and its initial side along the positive x axis

Question 21

When is a terminal ray positive

Answer 21

When you move it counterclockwise to form an angle

Question 22

When is a terminal ray negative

Answer 22

When you move it clockwise to form an angle

Question 23

Coterminal Angles

Answer 23

If two angles are in standard position and their terminal sides coincide.

Question 24

How do you find a coterminal angle?

Answer 24

By either adding or subtracting 2 pie (radians) or 360 degrees (degrees).

Question 25

1 Radian

Answer 25

The measure of the central angle that intercepts an arc that is equal in length to the radius of the circle.

Question 26

360 degrees equals

Answer 26

2 pie radian

Question 27

30 degrees equals .. (in radians)

Answer 27

pie/6

Question 28

60 degrees equals .. (in radians)

Answer 28

pie/3

Question 29

45 degrees equals .. (in radians)

Answer 29

pie/4

Question 30

90 degrees equals .. (in radians)

Answer 30

pie/2

Question 31

180 degrees equals .. (in radians)

Answer 31

pie

Question 32

270 degrees equals .. (in radians)

Answer 32

3pie/2

Question 33

360 degrees equals .. (in radians)

Answer 33

2pie

Question 34

Arc Length Formula (degrees)

Answer 34

O/360 * 2pieR

Question 35

Arc Length Formula (radians)

Answer 35

O * R

Question 36

Area of a Sector Formula (degrees)

Answer 36

O/360 * pieRsquared

Question 37

Area of a Sector Formula (radians)

Answer 37

1/2*(O/360) *Rsquared

Question 38

Theta Prime

Answer 38

O^1 (used for finding reference angles)