Texas Instruments TI-89 User Manual - Page 878

sinhê(squareMatrix1) ⇒ squareMatrix Returns the matrix inverse hyperbolic sine of squareMatrix1. This is not the same as calculating the inverse hyperbolic sine of each element. For information about the calculation method, refer to cos(). squareMatrix1 must be diagonalizable. The result always contains floating-point numbers. In Radian angle mode: sinhê([1,5,3;4,2,1;6,ë2,1]) ¸ .10.4416...3... 2.155... .926... 1.158... .112...   2.750... ë 1.528... .572...  SinReg MATH/Statistics/Regressions menu SinReg list1, list2 [ , [iterations] , [ period] [, list3, list4] ] Calculates the sinusoidal regression and updates all the system statistics variables. All the lists must have equal dimensions except for list4. list1 represents xlist. list2 represents ylist. list3 represents category codes. list4 represents category include list. In function graphing mode: seq(x,x,1,361,30)!L1 ¸ {1 31 61 ...} {5.5,8,11,13.5,16.5,19,19.5,17, 14.5,12.5,8.5,6.5,5.5}!L2 ¸ {5.5 8 11 ...} SinReg L1,L2 ¸ Done ShowStat ¸ iterations specifies the maximum number of times (1 through 16) a solution will be attempted. If omitted, 8 is used. Typically, larger values result in better accuracy but longer execution times, and vice versa. ¸ period specifies an estimated period. If omitted, regeq(x)!y1(x) ¸ Done the difference between values in list1 should be NewPlot 1,1,L1,L2 ¸ Done equal and in sequential order. If you specify ¥% period, the differences between x values can be „9 unequal. Note: list1 through list3 must be a variable name or c1-c99 (columns in the last data variable shown in the Data/Matrix Editor). list4 does not have to be a variable name and cannot be c1- c99. The output of SinReg is always in radians, regardless of the angle mode setting. solve( ) MATH/Algebra menu solve(equation, var) ⇒ Boolean expression solve(inequality, var) ⇒ Boolean expression Returns candidate real solutions of an equation or an inequality for var. The goal is to return candidates for all solutions. However, there might be equations or inequalities for which the number of solutions is infinite. Solution candidates might not be real finite solutions for some combinations of values for undefined variables. solve(aù x^2+bù x+c=0,x) ¸ x = bñ -4ø aø c-b 2ø a or x = ë ( bñ -4ø aø c+b) 2ø a ans(1)| a=1 and b=1 and c=1 ¸ Error: Non-real result For the AUTO setting of the Exact/Approx mode, the goal is to produce exact solutions when they are concise, and supplemented by iterative searches with approximate arithmetic when exact solutions are impractical. solve((xì a)e^(x)=ë xù (xì a),x) ¸ x = a or x =ë.567... 878 Appendix A: Functions and Instructions