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Inverse trig functions, Angle mode settings, Inverse trig functions inverse trig functions – Texas Instruments TI-73 EXPLORER User Manual

Page 217: 2, 4, and 6

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Chapter 11: Trigonometry

211

7311ENG.DOC CH 11 Trigonometry, English Julie Hewlett Revised: 05/26/98 11:12 AM Printed: 05/19/99 9:02

AM Page 211 of 12

Hint: This chapter’s section entitled “Graphing Trig

Functions” contains an example which graphs and traces

Y

1

=tan(X)

to show undefined Y values for the function.

Inverse Trig Functions

Inverse Trig Functions -

u

2, 4, and 6

2, 4, and 6

The inverse trig functions calculate the smallest angle that

gives a particular sine, cosine, or tangent. For example,

sin

-1

(.5)

calculates the angle whose sine is .5.

sin

-1

(

value

)

cos

-1

(

value

)

tan

-1

(

value

)

For

cos

-1

(also called arccosine) and

sin

-1

(also called arcsine),

M1value1.
All inverse trig functions return the arcsine, arccosine, or

arctangent of value or of each element in a list. If value is a

list, the calculator calculates the inverse trig function of each

element in the list, and a list is returned.

Angle Mode Settings

Angle Mode Settings

In trig calculations, angles are interpreted as degrees (

¡

) or

radians (

r

), depending on the Angle mode setting,

Degree

or

Radian

.

Set the Angle mode from the mode screen.

.

Depending on the Angle mode, sin(1) is the sine of either 1

¡

or

1

r

. As you can see in the following illustration, 1

¡

is not the

same as 1

r

. Therefore, sin(1

¡

) ƒ sin(1

r

). For correct results,

enter angle values in the same units (degrees or radians) as the

Angle mode setting.