Unit 11B - Trigonometry

Question 1

What are the reference angles? (3)

Answer 1

1. Acute angle formed
2. By terminal side & x - axis
3. How far away are you from the x- axis?

Question 2

Definition of Standard Position

Answer 2

An angle is in standard position when its initial side is on the positive x - axis

Question 3

Definition of Initial Side

Answer 3

1. Doesn’t move
2. Is on positive x - axis in standard position

Question 4

Definition of Terminal Side

Answer 4

1. Moves as the angle measure changes
2. Terminal Side determines which quadrant the angle is located

Question 5

What are the quadrantal angles?

Answer 5

1. 0°
2. 90°
3. 180°
4. 270°
5. 360°
6. 450°

Question 6

Definition of Unit Circle

Answer 6

Definition: Circle with radius of 1 and centered at the origin
Functions: Cos𝜃 = X, Sin𝜃 = Y, Tan𝜃 = Y/X
Coordinates: 0° & 360° = (1,0), 90° = (0,1), 180° = (-1, 0), 270° = (0, -1)

Question 7

Definition of ASTC Chart?

Answer 7

Tells you which function is positive in that quadrant

Question 7

What is the acronym to remember the order of ASTC?

Answer 7

All Students Take Classes

Question 8

What is something to keep in mind about reciprocal functions in ASTC?

Answer 8

Reciprocal functions hold the same sign value as original functions

Question 8

In right triangle ABC, angle A = 90.
If b = 3.64 and a = 7.28, find angle b.
What does a & b mean in the context of the problem?

Answer 8

a & b are sides of the triangle.
a is the side opposite of angle a
b is the side opposite of angle b

Question 9

What is QRS?

Answer 9

Quadrant
Reference Angle
Sign (+ or -)

(Used to find exact values of functions & their angles)