Formulae/Concepts Needed:
> Trigonometric identities and equations
> Length of arcs and areas of sectors
> General term of an arithmetic sequence or progression
> Formula for the sum of an arithmetic series
> General term of a geometric sequence or progression
> Formula for the sum of a finite geometric series
> Formula for the sum to infinity of an infinite geometric series
> The Pascal's triangle
> The binomial expansion theorem
> Basic differentiation rules
Here is the copy of the practice exercises on Trigonometry, Circular Measure, Series and Binomial Expansion, and Differentiation. The file contains five (10) items. It contains:
- Problems on proving and solving trigonometric equations
- Problems involving arcs and sectors
- Problems on arithmetic and geometric sequences and series
- Problems on binomial expansion
- Problems involving tangents and normals
For the complete list of the past paper items on trigonometry, circular measure, sequences, series, binomial expansion and differentiation, you may download on the following link:
>>> PAST PAPER ITEMS ON TRIGONOMETRY, CIRCULAR MEASURE, SERIES & BINOMIAL EXPANSION, and BASIC DIFFERENTIATION <<<
If you would like to review on the basic concepts of arithmetic sequences, you may watch the following playlist on arithmetic sequences and series. The videos will help you recall the notations and terms used for arithmetic progressions.
>>>PLAYLIST LINK HERE<<<
You may also want to answer the other collection of past paper items here:
Your comments and suggestions are welcome here. Write them in the comment box below. Thank you and God bless!
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ANSWER KEY:
ReplyDelete1) (ii) 70.5 degrees and 289.5 degrees
2) sqrt of 3 - pi/2
3) (-5, 18)
4) n = 31
5) (i) 2sin^2 x + 3 sinx - 2
(ii) 15 degrees, 75 degrees
6) (i) if x = -2, a3 = 16; if x=6, a3 = 48
(ii) 16/27
7) y = 2x - 8
8) (i) 3c0s^2 (theta) - 2cos(theta) - 1 = 0
(ii) -109.5 degrees, 0 degree, 109.5 degrees
9) (i) -4320
(ii) a = 2
10) n = 35