OCR MEI A-Level Maths Formulas (not given)
Study online at https://quizlet.com/_gfnsq9
1. b²-4ac<0 no real roots
2. b²-4ac=0 1 real root (repeated root)
3. b²-4ac>0 2 real roots
4. Sine rule (side length) a/sinA = b/sinB = c/sinC
5. Sine rule (angle) sinA/a = sinB/b = sinC/c
6. Cosine rule (angle) CosA = (b² + c² - a²) / 2bc
7. Cosine rule (side a² = b² + c² - 2bcCosA
length)
8. Area of triangle 1/2abSinC
9. Arc length θr
10. Sector area ½θr²
11. nth term for arith- a+(n-1)d
metic sequence
12. nth term for geomet- ar^n-1
ric sequence
13. domain of arcsinx -1 dx d1
14. range of arcasinx -π/2 dy dπ/2
-90 dy d90
15. domain of arccosx -1 dx d1
16. range of arccosx
1/5
, OCR MEI A-Level Maths Formulas (not given)
Study online at https://quizlet.com/_gfnsq9
0 dy dπ
0 dy d180
17. domain of arctanx all real numbers
18. range of arctanx -π/2 < y < π/2
-90 < y < 90
19. tanθ = sinθ/cosθ
20. sin²5+ cos²5= 1
21. cosec²5= 1 + cot²5
22. sec²5= 1 + tan²5
23. sin2x = 2sinxcosx
24. cos2x = cos²x - sin²x
2cos²x - 1
1 - 2sin²x
25. tan2x = 2tanx / 1-tan²x
26. logb(x) + logb(y) = logb(xy)
27. logb(x) - logb(y) = logb(x/y)
28. logb(x^y) = ylogb(x)
29. logb(b^x) = x
30. logb(1) = 0
31. dy/dx of a^kx = k(lna)a^kx
2/5
Study online at https://quizlet.com/_gfnsq9
1. b²-4ac<0 no real roots
2. b²-4ac=0 1 real root (repeated root)
3. b²-4ac>0 2 real roots
4. Sine rule (side length) a/sinA = b/sinB = c/sinC
5. Sine rule (angle) sinA/a = sinB/b = sinC/c
6. Cosine rule (angle) CosA = (b² + c² - a²) / 2bc
7. Cosine rule (side a² = b² + c² - 2bcCosA
length)
8. Area of triangle 1/2abSinC
9. Arc length θr
10. Sector area ½θr²
11. nth term for arith- a+(n-1)d
metic sequence
12. nth term for geomet- ar^n-1
ric sequence
13. domain of arcsinx -1 dx d1
14. range of arcasinx -π/2 dy dπ/2
-90 dy d90
15. domain of arccosx -1 dx d1
16. range of arccosx
1/5
, OCR MEI A-Level Maths Formulas (not given)
Study online at https://quizlet.com/_gfnsq9
0 dy dπ
0 dy d180
17. domain of arctanx all real numbers
18. range of arctanx -π/2 < y < π/2
-90 < y < 90
19. tanθ = sinθ/cosθ
20. sin²5+ cos²5= 1
21. cosec²5= 1 + cot²5
22. sec²5= 1 + tan²5
23. sin2x = 2sinxcosx
24. cos2x = cos²x - sin²x
2cos²x - 1
1 - 2sin²x
25. tan2x = 2tanx / 1-tan²x
26. logb(x) + logb(y) = logb(xy)
27. logb(x) - logb(y) = logb(x/y)
28. logb(x^y) = ylogb(x)
29. logb(b^x) = x
30. logb(1) = 0
31. dy/dx of a^kx = k(lna)a^kx
2/5