Texas Instruments TI-73VSC Guidebook - Page 217

Inverse Trig Functions, Angle Mode Settings, u

Page 217 highlights

Chapter 11: Trigonometry 211 Hint: This chapter’s section entitled “Graphing Trig Functions” contains an example which graphs and traces Y1=tan(X) to show undefined Y values for the function. Inverse Trig Functions - u 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 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 1r. As you can see in the following illustration, 1¡ is not the same as 1r. Therefore, sin(1¡) ƒ sin(1r ). For correct results, enter angle values in the same units (degrees or radians) as the Angle mode setting.

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Chapter 11: Trigonometry
211
Hint:
This chapter±s section entitled ²Graphing Trig
Functions³ 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),
M
1
±
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
¡
)
²
sin(1
r
). For correct results,
enter angle values in the same units (degrees or radians) as the
Angle mode setting.