Texas Instruments voyage 200 User Manual - Page 793

cos(squareMatrix1) ⇒ squareMatrix In Radian angle mode: Returns the matrix cosine of squareMatrix1. This is not the same as calculating the cosine of each element. When a scalar function f(A) operates on squareMatrix1 (A), the result is calculated by the algorithm: cos([1,5,3;4,2,1;6,ë 2,1]) ¸ ..211620...... .205... .259... .121... .037...   .248... ë.090... .218...  1. Compute the eigenvalues (li) and eigenvectors (Vi) of A. squareMatrix1 must be diagonalizable. Also, it cannot have symbolic variables that have not been assigned a value. 2. Form the matrices: l1 0 ... 0  B = 0 0 l2 ... 0 0 ...0   and X = [V1,V2, ... ,Vn] 0 0 ... ln  3. Then A = X B Xê and f(A) = X f(B) Xê. For example, cos(A) = X cos(B) Xê where: cos(λ1) 0 ... 0   cos (B) =  0 cos(λ 2) ... 0   0 0 ... 0   0 0 ... cos(λn) All computations are performed using floatingpoint arithmetic. cosê () 2 R key cosê (expression1) ⇒ expression cosê (list1) ⇒ list cosê (expression1) returns the angle whose cosine is expression1 as an expression. cosê (list1) returns a list of the inverse cosines of each element of list1. Note: The result is returned as a degree, gradian or radian angle, according to the current angle mode setting. In Degree angle mode: cosê (1) ¸ 0 In Gradian angle mode: cosê (0) ¸ 100 In Radian angle mode: cosê ({0,.2,.5}) ¸ {p2 1.369... 1.047...} cosê(squareMatrix1) ⇒ squareMatrix Returns the matrix inverse cosine of squareMatrix1. This is not the same as calculating the inverse cosine of each element. For information about the calculation method, refer to cos(). In Radian angle mode and Rectangular complex format mode: cosê([1,5,3;4,2,1;6,ë 2,1]) ¸ squareMatrix1 must be diagonalizable. The result always contains floating-point numbers. Appendix A: Functions and Instructions 795