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# Mathematics Basic Formulae

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Basic Mathematics Formulae for school students and teachers

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### Mathematics Basic Formulae

1. 1. List of Basic Formulae in Mathematics for Students M. D. Raghu
2. 2. BASIC FORMULAE FOR STUDENTS MATHEMATICS ยฉ2014 MDR www.learningforknowledge.com/glg ๐ ๐. ๐ ๐ = ๐ ๐+๐ ๐ ๐ ๐ ๐ = ๐ ๐โ๐ ๐ ๐ ๐ = ๐ ๐๐ ๐ ๐ ๐ = ๐ ๐ ๐ Algebra Indices Logarithms ๐ฐ๐ ๐ = ๐ ๐ ๐๐๐๐ ๐ = log ๐ ๐ log ๐ ๐๐ = log ๐ ๐ + log ๐ ๐ log ๐ ๐ ๐ = log ๐ ๐ โ log ๐ ๐ log ๐ ๐ ๐ = ๐ log ๐ ๐ log ๐ ๐ = log ๐ ๐ log ๐ ๐
3. 3. BASIC FORMULAE FOR STUDENTS MATHEMATICS ยฉ2014 MDR www.learningforknowledge.com/glg Arithmetic ๐ ๐๐ ๐๐๐๐ ๐ ๐ = ๐ + ๐ โ ๐ ๐ ๐ด๐๐๐ ๐๐๐๐๐๐๐๐๐๐ ๐ = ๐ ๐+๐ โ ๐ ๐ ๐บ๐๐ ๐๐ ๐ ๐๐๐๐๐ ๐ ๐ = ๐ ๐ ๐๐ + ๐ โ ๐ ๐ ๐ ๐ = ๐ ๐โ๐ ๐ ๐โ๐ , ๐ โ  ๐ ๐ ๐ = ๐ ๐ ๐โ๐ ๐ = ๐ ๐ ๐ ๐โ๐ ๐โ = ๐ ๐โ๐ , ๐ < ๐ Arithmetic Series ๐, ๐ + ๐, ๐ + 2๐, โฆ Geometric Series ๐, ๐๐, ๐๐2, โฆ
4. 4. BASIC FORMULAE FOR STUDENTS MATHEMATICS ยฉ2014 MDR www.learningforknowledge.com/glg ๐ด๐๐๐๐๐๐๐ ๐ ๐ + ๐ ๐ ๐ , ๐ ๐ + ๐ ๐ ๐ ๐ฎ๐๐๐๐๐๐๐ ๐ = ๐ ๐ โ ๐ ๐ ๐ ๐ โ ๐ ๐ ๐ซ๐๐๐๐๐๐๐ ๐ ๐ โ ๐ ๐ ๐ + ๐ ๐ โ ๐ ๐ ๐ ๐ท๐๐๐๐๐๐๐ ๐ณ๐๐๐๐ ๐ ๐ = ๐ ๐ ๐ท๐๐๐๐๐๐๐๐๐๐๐๐ ๐ณ๐๐๐๐ ๐ ๐ ๐ ๐ = โ๐ Analytical Geomtery Line Coordinates and Gradients
5. 5. BASIC FORMULAE FOR STUDENTS MATHEMATICS ยฉ2014 MDR www.learningforknowledge.com/glg ๐จ๐๐๐ ๐ฐ๐๐๐๐๐๐๐๐ ๐ ๐ + ๐ ๐ = ๐ ๐ซ๐๐๐๐๐๐๐ ๐๐ ๐๐๐๐๐ ๐ ๐, ๐ ๐ ๐๐๐๐ ๐๐๐๐ ๐๐ + ๐๐ + ๐ = ๐ ๐๐ ๐ + ๐๐ ๐ + ๐ ๐ ๐ + ๐ ๐ ๐บ๐๐๐๐๐ ๐ท๐๐๐๐ ๐ โ ๐ ๐ = ๐ ๐ โ ๐ ๐ ๐บ๐๐๐๐ ๐ฐ๐๐๐๐๐๐๐๐ ๐ = ๐๐ + ๐ Analytical Geomtery Line Equations
6. 6. BASIC FORMULAE FOR STUDENTS MATHEMATICS ยฉ2014 MDR www.learningforknowledge.com/glg ๐๐๐ ๐ฝ = ๐ ๐ ๐๐๐ ๐ฝ = ๐ ๐ ๐๐๐ ๐ฝ = ๐ ๐ ๐๐๐๐๐ ๐ฝ = ๐ ๐ ๐๐๐ ๐ฝ = ๐ ๐ ๐๐๐ ๐ฝ = ๐ ๐ Trigonometry Ratios x y r ฮธ
7. 7. BASIC FORMULAE FOR STUDENTS MATHEMATICS ยฉ2014 MDR www.learningforknowledge.com/glg cosโ1 ๐ ๐ = ๐ฝ sinโ1 ๐ ๐ = ๐ฝ tanโ1 ๐ ๐ = ๐ฝ cotโ1 ๐ ๐ = ๐ฝ cosecโ1 ๐ ๐ = ๐ฝ secโ1 ๐ ๐ = ๐ฝ Trigonometry Inverse of Ratios x y r ฮธ
8. 8. BASIC FORMULAE FOR STUDENTS MATHEMATICS ยฉ2014 MDR www.learningforknowledge.com/glg tan ๐ฝ = sin ๐ฝ cos ๐ฝ tan2 ฮธ + 1= sec2 ฮธ sin2 ฮธ + cos2 ฮธ = 1 cosec ๐ฝ = ๐ sin ๐ฝ Trigonometry Identities sec ๐ฝ = ๐ cos ๐ฝ cot ๐ฝ = cos ๐ฝ sin ๐ฝ cot2 ฮธ + 1= cosec2 ฮธ tan ฮธ ร cot ฮธ = 1
9. 9. BASIC FORMULAE FOR STUDENTS MATHEMATICS ยฉ2014 MDR www.learningforknowledge.com/glg Trigonometry Products 2 cos ๐ด cos ๐ต = cos ๐ด โ ๐ต + cos ๐ด + ๐ต 2 cos ๐ด sin ๐ต = sin ๐ด + ๐ต โ sin ๐ด โ ๐ต 2 sin ๐ด cos ๐ต = sin ๐ด + ๐ต + sin ๐ด โ ๐ต 2 sin ๐ด sin ๐ต = cos ๐ด โ ๐ต โ cos ๐ด + ๐ต
10. 10. BASIC FORMULAE FOR STUDENTS MATHEMATICS ยฉ2014 MDR www.learningforknowledge.com/glg Trigonometry Sums cos ๐ถ + cos ๐ท = 2 cos ๐ถ + ๐ท 2 ร cos ๐ถ โ ๐ท 2 sin ๐ถ โ sin ๐ท = 2 cos ๐ถ + ๐ท 2 ร sin ๐ถ โ ๐ท 2 cos ๐ถ โ cos ๐ท = โ2 sin ๐ถ + ๐ท 2 ร sin ๐ถ โ ๐ท 2 sin ๐ถ + sin ๐ท = 2 sin ๐ถ + ๐ท 2 ร cos ๐ถ โ ๐ท 2
11. 11. BASIC FORMULAE FOR STUDENTS MATHEMATICS ยฉ2014 MDR www.learningforknowledge.com/glg tan ๐ด โ ๐ต = tan ๐ด โ tan ๐ต 1 + tan ๐ด tan ๐ต sin ๐ด โ ๐ต = sin ๐ด cos ๐ต โ cos ๐ด sin ๐ต cos ๐ด + ๐ต = cos ๐ด cos ๐ต โ sin ๐ด sin ๐ต sin ๐ด + ๐ต = sin ๐ด cos ๐ต + cos ๐ด sin ๐ต cos ๐ด โ ๐ต = cos ๐ด cos ๐ต + sin ๐ด sin ๐ต tan ๐ด + ๐ต = tan ๐ด + tan ๐ต 1 โ tan ๐ด tan ๐ต Trigonometry Compound Angles
12. 12. BASIC FORMULAE FOR STUDENTS MATHEMATICS ยฉ2014 MDR www.learningforknowledge.com/glg ๐ = ๐ + ๐ + ๐ ๐ถ = 2๐๐ ๐ = 2 ๐ + 2 ๐ ๐ด = ๐ ๐ ๐ด = ๐ ๐2 ๐ด = 1 2 ๐ โ Geometry Perimeter AreaShape a b c h l b r
13. 13. BASIC FORMULAE FOR STUDENTS MATHEMATICS ยฉ2014 MDR www.learningforknowledge.com/glg Author: M. D. Raghu glg@learningforknowledge.com Ganit Learning Guides Thank you Design and Layout: www.narayanasoftware.com For exemplars and proofs of formulae Visit: www.learningforknowledge.com/glg