Tangent line (CAS mode) Returns the expression for a tangent line. [F2](CALC)[8](tanLin) tanLine( expression , var , point [ ) ] 1. To determine the expression for a line tangent with X^3 when X=2. [F2](CALC)[8](tanLin) [X][^][3][,][X][,][2][EXE] Taylor expansion (CAS mode) Finds a Taylor polynomial. [F2](CALC)[6](taylor) taylor( expression , var , rank [ , point ] [ ) ] 1. To find a 5th order Taylor polynomial for sin(X) with respect to X=0.(Angle:Rad) [F2](CALC)[6](taylor) [sin][X][,][X][,][5][,][0][EXE] 2. taylor( eX, X, 2 ) X2/2 + X + 1 3. taylor( sin(X), X, 6, 0 ) X5/120 - X3/6 + X 4. taylor( 1/(1-X), X, 4, 0 ) X4+X3+X2+X+1 5. taylor( 1/(1-X), X, 4, 2 ) -(X-2)4+(X-2)3-(X-2)2+X-3

	Trigonometric collect (CAS mode) Employs the addition theorem to transform the product of a trigonometric function to a sum. [F1](TRNS)[5](TRIG)[2](tCollc) tCollect( expression [ ) ] 1. To employ the addition theorem to transform sin(A)cos(B) to trigonometric sum.(Angle:Rad) [F1](TRNS)[5](TRIG)[2](tCollc) [sin][ALPHA][A] [cos][ALPHA][B][EXE] 2. tCollect( (sin(X) + cos(X))2 ) sin(2X) + 1

	Trigonometric expansion (CAS mode) Employs the addition theorem to expand a trigonometric function. [F1](TRNS)[5](TRIG)[1](tExpand) tExpand( expression [ ) ] 1. To employ the addition theorem to expand sin(A+B).(Angle:Rad) [F1](TRNS)[5](TRIG) [1](tExpand) [sin][(][ALPHA][A] [+][ALPHA][B][EXE] 2. tExpand( sin(2X)/sin(X) - cos(2X)/cos(X) ) 2*cos(X) + (-(cos(X))2 + (sin(X))2)/cos(X)

Trigonometric / Hyperbolic form to Exponential form (CAS mode) Transforms a trigonometric or hyperbolic function to an exponential function. [F1](TRNS)[5](TRIG)[3](trigToE) tCollect( expression [ ) ] 1. To convert cos(iX) to an exponential function. [F1](TRNS)[5](TRIG) [3](trigToE)[cos] [SHIFT][i][X][EXE] 2. trigToExp( (1+sin(X))^(1/3) ) ((-(eXi - e-Xi) i)/2 + 1) 3. trigToExp( cosh(X) ) (eX + e-X)/2

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