Pythagorean identities - Study guides, Class notes & Summaries
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Grade 11 Mathematics (MATH) June Paper 2 and Memo - 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 t...
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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: 
- 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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Napt Guide for Exam Study| Questions and Solutions
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Pythagorean Identities - ANSWER sin^2theta+cos^2theta=1 
tan^2theta+1=sec^2theta 
cot^2theta+1=csc^2theta 
sin(theta)= - ANSWER opposite over hypotenuse 
cos(theta)= - ANSWER adjacent over hypotenuse 
tan(theta)= - ANSWER opposite over adjacent
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Trigonometry Study Guide Exam Questions 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 - 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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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
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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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OAT Math Formulas Exam Questions with Complete Solutions
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sin A = - Answer-opposite/hypotenuse 
 
cos A = - Answer-adjacent/hypotenuse 
 
tan A = - Answer-opposite/adjacent 
 
csc A = - Answer-hypotenuse/opposite = (1/sin A) 
 
sec A = - Answer-hypotenuse / adjacent = (1/cos A) 
 
cot A = - Answer-adjacent / opposite = (1/tan A) 
 
sin (-A) = - Answer-- sin A 
 
cos (-A) = - Answer-cos A 
 
sin A = ___ - Answer-=cos (90' - A) 
 
cos A = ____ - Answer-= sin (90'-A) 
 
sin 2 A = - Answer-2 sin A cos A 
 
cos 2 A = - Answer-cos^2 A - sin^2 A 
 
Pythagor...
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formulas for Accuplacer advanced algebra and functions 59 Questions with Verified Answers,100% CORRECT
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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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