Save
pre-calculus
q2
Save
Share
Learn
Content
Leaderboard
Share
Learn
Created by
Escaño, Jared
Visit profile
Cards (29)
Unit Circle
The circle of radius 1 centered at the origin in the Cartesian coordinate system
View source
Central Angle
An angle whose vertex is on the center of the circle and is formed by two radii
View source
Degree measure
In a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc
View source
Radian measure
When the central angle intercepts an arc that has the same length as a radius of the circle, the measure of the angle is defined as radian
View source
Arc length
The distance between two points on a circle, along the circumference
View source
Sector
The area that is bounded between the arc and the center point by drawing two radii at the endpoints of the arc to the center
View source
Arc length and area of a sector
1. θ = s/r
2. A = 1/2 r2θ
View source
Converting DMS to degrees
dd = d + m/60 + s/3600
View source
Special angles
0
30
45
60
90
View source
Coterminal angles
You can find coterminal angles by adding or subtracting 2π or 360
View source
Reference angles
You can find it by this guide
View source
sin2(t) + cos2(t) = 1
View source
tan2(t) + 1 = sec2(t)
View source
1 + cot2(t) = csc2(t)
View source
sin(-t) = -sin(t), csc(-t) = -csc(t)
View source
cos(-t) = cos(t), sec(-t) = sec(+)
View source
tan(-t) = -tan(t), cot(-t) = -cot(t)
View source
The domain of sine and cosine functions is the set of all real numbers
View source
The domain of tangent and secant functions is the set of all real numbers, except odd integer multiples of π/2 = 90°
View source
The domain of cotangent and cosecant functions is the set of all real numbers, except integer multiples of π = 180°
View source
Sine and cosine have range [-1, 1]
View source
The range of cosecant and secant is (-∞, -1] ∪ [1, ∞)
View source
The range of tangent and cotangent functions is the set of all real numbers
View source
Amplitude
The height from the center line to the peak (or to the trough), or the height from highest to lowest points divided by 2
View source
Period
The distance from one peak to the next (or from any point to the next matching point)
View source
Phase Shift
How far the function is shifted horizontally from the usual position
View source
Vertical Shift
How far the function is shifted vertically from the usual position
View source
General equation for circular functions
y = A sin (B (x + C)) + D
View source
defined as the customary beliefs, social forms, and traits that defines a specific
racial
, religious or
social
group
See similar decks
4. Calculus
OCR A-Level Further Mathematics > Pure Core
195 cards
AP Calculus AB
3363 cards
2.4 Further Calculus
AQA A-Level Further Mathematics > 2. Compulsory Content
70 cards
AP Calculus BC
6237 cards
Understanding the Fundamental Theorem of Calculus:
AP Calculus AB > Unit 6: Integration and Accumulation of Change > 6.4 The Fundamental Theorem of Calculus and Definite Integrals
39 cards
14.2.2 Understanding calculus applications
AQA A-Level Physics > 14. Practical skills and data analysis > 14.2 Mathematical skills
79 cards
3.3.2.1: Pre-1900 Texts
AQA A-Level English Literature > Unit 3.3: Independent Critical Study: Texts Across Time > 3.3.2: Text Selection Guidance
79 cards
2. Study of a Pre-1900 Drama Text
OCR A-Level English Literature > Component 01: Drama and Poetry Pre-1900 > Section 2: Drama and Poetry Pre-1900
160 cards
Unit 8: Applications of Integration
AP Calculus AB
464 cards
1.1 Introducing Calculus: Connecting Graphs and Rates of Change
AP Calculus BC > Unit 1: Limits and Continuity
41 cards
6.4 The Fundamental Theorem of Calculus and Accumulation Functions
AP Calculus BC > Unit 6: Integration and Accumulation of Change
18 cards
Unit 7: Differential Equations
AP Calculus AB
350 cards
Component 01: Drama and Poetry Pre-1900
OCR A-Level English Literature
648 cards
3.5 Calculus (Higher Tier)
WJEC GCSE Mathematics > Unit 3: Calculator-allowed
141 cards
14.2.2 Understanding calculus applications
2024-25 AQA A-Level Physics > 14. Practical skills and data analysis > 14.2 Mathematical skills
44 cards
3.2 Specified Poetry Pre- or Post-1900
Edexcel A-Level English Literature > Component 3: Poetry
36 cards
Unit 8: Applications of Integration
AP Calculus BC
551 cards
1. Pure Mathematics
OCR A-Level Further Mathematics > Mathematics A
1038 cards
Section 2: Drama and Poetry Pre-1900
OCR A-Level English Literature > Component 01: Drama and Poetry Pre-1900
345 cards
Unit 6: Integration and Accumulation of Change
AP Calculus AB
229 cards
Unit 2: Differentiation: Definition and Fundamental Properties
AP Calculus BC
271 cards