Quotient identities - Study guides, Class notes & Summaries

2 © OCR 2023 H240/02 Jun23 ^ h = n+1 2 n 2 2 L P 2! r! dx dx Formulae A Level Mathematics A (H240) Arithmetic series S = 1 n^a + lh = 1 n"2a +^n - 1hd, Geometric series Sn = a 1-r n 1 -r a 3 1-r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+b n ^n e Nh, n J n N n! where Cr = n Cr = K r O = r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n -1hf^n -r+1h x r +f ^x 1 1,n e Rh Differentiatio...

2 © OCR 2023 H240/03 Jun23 ^ h = n+1 2 n 2 2 2! r! dx dx Formulae A Level Mathematics A (H240) Arithmetic series S = 1 n^a + lh = 1 n"2a +^n - 1hd, Geometric series Sn = a 1-r n 1 -r a 3 1-r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+b n ^n e Nh, where nC = C = c n m = n! r n r r r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n -1hf^n -r+1h x r +f ^x 1 1, n e Rh Differentiation f x fl x ...

Adding Fractions w/Different Denominators - Answer-(a/b) + (c/d) = (ad + bc)/bd Subtracting Fractions w/Different Denominators - Answer-(a/b) - (c/d) = (ad - bc)/bd Comparing Fraction Size: Bowtie Method - Answer-(a/b) > (c/d) if ad > bc Properties of a Number Between 0 and 1 - Answer-x^2 < x < √x 3 Common Quadratic Identities - Answer- Difference of Squares - Answer- Even/Odd Rules - Answer- Prime Numbers Less than 100 - Answer-2, 3, 5, 7, 11, 13, 17, 19, 23, ...

2 © OCR 2023 H640/02 Jun23 ^ h = e n+1 2 n 2 2 L P Formulae A Level Mathematics B (MEI) (H640) Arithmetic series S = 1 n^a + lh = 1 n"2a +^n - 1hd, Geometric series Sn = a 1-r n 1 -r a 3 1-r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+b n n e N , n J n N n! where Cr = n Cr = K r O = r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n -1hf^n -r+1h x r +f x 1 1, n e R 2! Differentiation...

2 © OCR 2023 H240/01 Jun23 ^ h = n+1 2 n 2 2 L P 2! r! dx dx Formulae A Level Mathematics A (H240) Arithmetic series S = 1 n^a + lh = 1 n"2a +^n - 1hd, Geometric series Sn = a 1-r n 1 -r a 3 1-r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+b n ^n e Nh n J n N n! where Cr = n Cr = K r O = r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n -1hf^n -r+1h x r +f ^ x 1 1,n e Rh Differentiati...

2 © OCR 2023 H640/01 Jun23 = r n r Kr O e n+1 2 Formulae A Level Mathematics B (MEI) (H640) Arithmetic series S = 1 n^a+lh = 1 n"2a+^n-1hd, n 2 2 Geometric series Sn = a^1-r nh 1 -r a 3 1 -r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+ b n ^n e Nh, where nC = C = J n N = L P n! r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n - 1hf^n -r+1h x r +f ^x 1 1, n e Rh 2! Differentiation f^x...

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 Brainpower Read More Previous Play Next Rewind 10 seconds Move forward 10 seconds Unmute 0:07 / 0:15 Full screen 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...

Adding Fractions w/Different Denominators correct answers (a/b) + (c/d) = (ad + bc)/bd Subtracting Fractions w/Different Denominators correct answers (a/b) - (c/d) = (ad - bc)/bd Comparing Fraction Size: Bowtie Method correct answers (a/b) > (c/d) if ad > bc Properties of a Number Between 0 and 1 correct answers x^2 < x < √x 3 Common Quadratic Identities correct answers Difference of Squares correct answers Even/Odd Rules correct answers Prime Numbers Less t...

2 © OCR 2023 H640/03 Jun23 = e n+1 2 Formulae A Level Mathematics B (MEI) (H640) Arithmetic series S = 1 n^a+lh = 1 n"2a+^n-1hd, n 2 2 Geometric series Sn = a^1-r nh 1 -r a 3 1 -r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+ b n ^n e Nh, n Jn N n! where Cr = n Cr = K r O = r!^n -rh! L P ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n - 1hf^n -r+1h x r +f ^x 1 1, n e Rh 2! Differentiation f^x...

Substitution 13•n 13•3 13•3=39 N=3 Exponents 5(3)= 5•5•5 Pemdas Parenthesis Exponents Multiplication Division Addition Subtraction Absolute Value The distance from zero on a number line it is always positive |-3|=3 |3|=3 Multiplication and Division with Fractions Positive times positive is positive 4•3=12 Negative times negative is positive -5•-5=25 Negative times Positive is Negative -4•4=-16 Addition and subtraction Pos...