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Tan ê (), Tanh(), Appendix a: functions and instructions 887 – Texas Instruments TITANIUM TI-89 User Manual

Page 887

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Appendix A: Functions and Instructions

887

tan(

squareMatrix1

)

squareMatrix

Returns the matrix tangent of

squareMatrix1

. This

is

not

the same as calculating the tangent 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:

tan([1,5,3;4,2,1;6,л2,1]) ¸

л

28.291… 26.088… 11.114…

12.117… л 7.835… л 5.481…

36.818… л 32.806… л 10.459…

tan

ê ()

¥ S key

tan

ê (

expression1

)

expression

tan

ê (

list1

)

list

tan

ê (

expression1

)

returns the angle whose

tangent is

expression1

as an expression.

tan

ê (

list1

)

returns a list of the inverse tangents

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:

tanê (1)

¸

45

In Gradian angle mode:

tanê (1)

¸

50

In Radian angle mode:

tanê ({0,.2,.5})

¸

{0 .197

...

.463

...

}

tan

ê(

squareMatrix1

)

squareMatrix

Returns the matrix inverse tangent of

squareMatrix1

. This is

not

the same as calculating

the inverse tangent 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:

tanê([1,5,3;4,2,1;6,л2,1]) ¸

л

.083… 1.266… .622…

.748… .630… л.070…

1.686… л 1.182… .455…

tanh()

MATH/Hyperbolic menu

tanh(

expression1

)

expression

tanh(

list1

)

list

tanh(

expression1

)

returns the hyperbolic tangent

of the argument as an expression.

tanh(

list

)

returns a list of the hyperbolic tangents

of each element of

list1

.

tanh(1.2)

¸

.833

...

tanh({0,1})

¸

{0 tanh(1)}

tanh(

squareMatrix1

)

squareMatrix

Returns the matrix hyperbolic tangent of

squareMatrix1

. This is

not

the same as calculating

the hyperbolic tangent 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:

tanh([1,5,3;4,2,1;6,л2,1]) ¸

л

.097… .933… .425…

.488… .538… л.129…

1.282… л 1.034… .428…