Pythagorean identities Study guides, Class notes & Summaries
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Grade 11 Mathematics (MATH) June Paper 2 and Memo - 2024
- Exam (elaborations) • 15 pages • 2024
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Grade 11 Math June Paper 2 and Memo: 
Total: 100 Marks. 
 
Contents of the exam paper contains the following details: 
 
Parallelogram properties, coordinate geometry, trigonometry 
Equation of a line 
Parallel lines 
Trigonometry, trigonometric identities 
Trigonometric equations, algebra 
Circle properties, theorems 
Circle geometry, Pythagorean theorem 
Tangents to circles 
Angles in circles 
 
This is a practice paper with memorandum meant to test the student's knowledge, and will not be ...
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University of Central Florida - MAC 1114C - 6.3 Trigonometric Functions of any Angle Notes - Kwon
- Class notes • 8 pages • 2023
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UCF MAC 1114C Fall 2023 Professor Kwon 
 
Covers: 
- Definitions of trigonometric functions 
- Signs of trigonometric functions 
- Definition of a reference angle 
- Quadrants and signs 
- Quadrants and ranges 
- Fundamental identities 
- Reciprocal identities 
- Pythagorean identities 
- Verifying Pythagorean identities 
- Example problems + solving solutions
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Trig Identities Questions with Rationale 2024
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Trig Identities Questions with Rationale 2024 
reciprocal identities 
1. sinB=1/cscB 
2. cosB= 1/secB 
3. tanB= 1/cotB 
4. cscB= 1/sinB 
5. secB=1/cosB 
6. cotB=1/tanB 
 
 
 
quotient identities 
1. sinB/cosB=tanB 
2. cosB/sinB=cotB 
 
 
 
 
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pythagorean identities 
1. sin^2B+cos^2B=1 
2. tan^2B+1=sec^2B 
3. cot^2B+1=csc^2B 
 
 
 
odd-even identities 
1. sin(-B)=-sinB 
2. c...
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University of Central Florida - MAC 1114C - 6.3 Trigonometric Functions of Any Angle Notes - Kwon
- Class notes • 8 pages • 2023
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UCF MAC 1114C Fall 2023 Professor Kwon 
 
Covers: 
- Definition of trigonometric functions 
- Signs (Negative or positive) of trigonometric functions based on quadrant 
- Reference Angle 
- Reciprocal identities (csc, cot, tan) 
- Pythagorean identities 
- Example problems + solving solutions
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Trigonometry Study Guide Exam Questions 2024
- Exam (elaborations) • 5 pages • 2024
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Trigonometry Study Guide Exam Questions 2024 
sin 30° - ANSWER 1/2 
 
sin 45° - ANSWER √2/ 2 
 
sin 60° - ANSWER √3/ 2 
 
cos 30° - ANSWER √3/ 2 
 
cos 45° - ANSWER √2/ 2 
 
cos 60° - ANSWER 1/2 
 
tan 30° - ANSWER √3/ 3 
 
tan 45° - ANSWER 1 
 
tan 60° - ANSWER √3 
 
pythagorean identities (list all) - ANSWER 
 

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University of Central Florida - MAC 1114C - 7.1 Trigonometric Identities Notes - Kwon
- Class notes • 3 pages • 2023
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UCF MAC 1114C Fall 2023 Professor Kwon 
 
Covers: 
- Reciprocal Identities 
- Pythagorean Identities 
- Even-odd identities 
- Trigonometric substitution 
- Example problems + solving solutions
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SDSU MATH PLACEMENT ASSESSMENT FORMULAS WITH COMPLETE SOLUTIONS 100% 2023/2024
- Exam (elaborations) • 9 pages • 2024
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SDSU MATH PLACEMENT ASSESSMENT FORMULAS WITH COMPLETE SOLUTIONS 100% 2023/2024 
vertex 
-b/2a 
 
 
domain and range 
(-∞ ,∞) 
and brackets for numbers for sure or equal to [ , ] 
parentheses for < or > or infinity 
 
 
end behavior 
odd: different- positive: falls left, rises right; negative: rises left, falls right 
 
even: same- positive: rises x2; negative: falls x2 
 
 
polynomial division 
answer+ (remainder/divison) 
 
 
quadratic formula 
-b±[√b²-4ac]/2a 
 
 
Vertical asympt...
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formulas for Accuplacer advanced algebra and functions 59 Questions with Verified Answers,100% CORRECT
- Exam (elaborations) • 4 pages • 2023
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formulas for Accuplacer advanced algebra and functions 59 Questions with Verified Answers 
 
Point slope form - CORRECT ANSWER y - y1 = m(x - x1) 
 
Sin - CORRECT ANSWER opposite/hypotenuse 
 
Difference of cubes - CORRECT ANSWER a³-b³=(a-b)(a²+ab+b²) 
 
Point Distance Formula - CORRECT ANSWER √(x2-x1)² + (y2-y1)² 
 
Area of a square - CORRECT ANSWER A=s² 
 
Area of a rectangle - CORRECT ANSWER A=lw 
 
Area of a parallelogram - CORRECT ANSWER A=bh 
 
Area of a triangle - CORRECT ANSWER ...
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Accuplacer Exam 136 Questions with Verified Answers,100% CORRECT
- Exam (elaborations) • 19 pages • 2023
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Accuplacer Exam 136 Questions with Verified Answers 
 
Define - "ordered pairs" - CORRECT ANSWER = (x, y) 
= a single point on a coordinate plane 
 
Define - "origin" - CORRECT ANSWER = (0,0) 
= the point where two axes meet 
 
Explain - "quadrants" - CORRECT ANSWER = when the two axes (x and y) cross they form 4 quadrants 
 
Explain what - "the distance" means 
Define - "distance formula" for a line(s) - CORRECT ANSWER = "distance" - the length between two points on a plane - (x1...
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ACT Math Prep Test 44 Questions with Verified Answers,100% CORRECT
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ACT Math Prep Test 44 Questions with Verified Answers 
 
How many questions are on the Math test? - CORRECT ANSWER 60 
 
How many subscores are on the Math test? - CORRECT ANSWER 3 
 
2) What are the subscores? - CORRECT ANSWER 1) Pre-Algebra 
Elementary Algebra (Algebra I) 
 
2) Intermediate Algebra (Algebra II) 
Coordinate Geometry 
 
3) Plane Geometry 
Trigonometry 
 
What is the benchmark score for Math to be considered college ready? - CORRECT ANSWER 22 
 
True or False: Math is the only se...
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