Use your FORMULA SHEET!!!!!

5. 1

9. Use your FORMULA SHEET!!!!!

10. We use law of cosines when we have ______s.a.s._________ or ______s.s.s.____________.

11. Use law of sines when asked to find the number of triangles that can be constructed.

12. Axis of symmetry equation: Turning point Plug in to find y!

13. Sum of the roots: Product of the roots:

14. Quadratic formula: Use this when asked for: a+bi, simplest radical form or to a decimal place.

15. (Divide exp. By 4)

16. Completing the square: • Subtract/add over the constant. • Factor out the coefficient of the x^2 and x term, if there is one. • Take half of the coefficient of the x term and square it and add it to that side, and also add it to the other side. • Factor the trinomial you made. • Solve for y (or x), whichever they ask for.

17. Discriminant is used to determine the types of roots: Rational, irrational, equal or imaginary

18. If:

19. Conic sections: 1. circle 3. hyperbola 4. parabola

20. Distance Formula: *used to find lengths of line segments*

21. Midpoint formula: *used to find the midpoint* Slope:

22. Theta must be in radians.

23. Inequalities: # line, use test points. If <, then shade between endpoints. If >, then shade outside endpoints.

24. To find the inverse of a • Function: • Switch the x and y • Solve for y • If graphing, go to table • and switch the x and y.

25. Inverse variation: Multiply, do not set up a proportion!  Products equal. xy=xy

26. Direct variation: DIVIDE

27. Exponential growth and decay. or Remember to change percents by moving decimal to the left 2 places.

28. Don’t forget to keep the “e”: This is used when there is Continuous growth.

29. You can only solve exponential equations, log equations must be written Exponential form first! Find a common base or log Both sides to solve!

30. Log form to: exponent form

32. Fractional exponents: Power over root!!! Bottom number in the notch!

33. COfunctions: angles add up to 90. complementary sin 30 = cos 60 tan 14 = cot 76 sec 3 = csc 87

34. Vert.shift d is the midline a is the amplitude b is the Number of curves from 0 to c is the Phase shift

35. Period is the length of one curve.

36. We are looking for the angle!!, 2nd calc sin …..etc…. Remember when solving trig Equations, find all quadrants.

37. Force problems – remember to find the top angle. And no, the resultant does not bisect the angle, only in a rhombus!!

38. Area of a non-right triangle Formula sheet!!!!! Must have 2 sides and the Included angle!

39. sin(a+b) sin(a-b) cos(a+b) cos(a-b) If you see any of these, use your FORMULA SHEET.

40. Binomial expansion: Plug in the numbers and add them all up!

41. Statistics and the Bell Curve: Use your formula sheet!

42. Mean, median, mode and standard deviation, use stats and 1-var stats in your calculator. For populations For samples

43. If you are asked to find the normal approximation and not given the mean or s.d. use these formulas and your calculator:

44. is the mean is the population standard deviation is the sample standard deviation All of these are found in 1 var-stat L1,L2

45. when asked to graph a complex number: a+bi, graph it as you would the point (a,b) and then draw an arrow from the origin to the point. Ex. Find the sum of 3+4i and -2+i, then graph the sum.

46. If asked to find the length of a + bi:

47. Y=sin x

48. Y=cos x

49. You must know the domain and range for the inverse trig. functions: