It is not clear what numbers are represented by the alphabetic characters that appear in the sequence in the question.
2 11 4 10 6 9 8 8 10 7
(Assuming 100 is 100 degrees)cos 100 degrees is equal to - sin 10 degrees.In radians, this is - sin (pi/18).Approximating pi as 22/7, this is - sin (11/63)Using four terms of a Taylor series, this is approximately:- (11/63) + (11/63)^3 /6 - (11/63)^5 / 120 + (11/63)^7 / 5040.- (11/63) + (11^3/63^3) /6 - (11^5/63^5) / 120 + (11^7/63^7) / 5040.Rewriting the fractions with the common denominator 63^7:- (11*63^6/63^7) + (11^3*63^4/63^7) /6 - (11^5*63^2/63^7) / 120 + (11^7/63^7) / 5040.Rewriting again with common denominators of 5040:- 5040*(11*63^6/63^7)/5040 + 840*(11^3*63^4/63^7)/5040 - 42*(11^5*63^2/63^7) / 5040 + (11^7/63^7) / 5040.Now add it all up:[- 5040*11*63^6 + 840*11^3*63^4 - 42*11^5*63^2 + 11^7] / (5040*63^7)Now, some seriously long multiplication gives:(- 3466302962466960 + 17612440516440 - 26846879598 + 19487171) / 19852462421401680Some really easy addition:-3448717349342947 / 19852462421401680And finally, do the long division:-0.17371735939 ... and so on.The actual value is -0.17364817766693034885171662676931So, I got 3 decimal places right. Maybe use a better approximation of pi (like 355/113) and more terms of the Taylor series. But you get the picture.
Oh honey, buckle up because we're diving into some math! The algorithm for calculating the sine series involves summing up terms of the form (-1)^n * x^(2n+1) / (2n+1)! where n starts at 0 and goes to infinity. Just plug in your desired x value and keep adding terms until you're satisfied with the accuracy of your approximation. It's a wild ride, but hey, math is all about embracing the chaos!
10 square, 11 will ensure you have enough.
tan(11o) = 0.19438 =======
the answer is 1
What would be the next number in this series 15 12 13 10 11 8?
11 comes next.
13
59 is the next number in this series.
10 4 3 11 15 9 8 16 20....
The next number in the series is 67.
11
2
The pattern is - 5 then +2. 2 and 4 are the next numbers in the series.
11 because 4+1=5 3+5=8 2+8=10 1+10=11 0+11=11
12,7,13,8 etc