Maintenance script: Automated superscript correction

2016-02-24T22:24:06Z

Automated superscript correction

← Older revision		Revision as of 22:24, 24 February 2016
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	The ZTrig command sets the screen to a special [[TI-BASIC:Friendly_Window\|Friendly_Window]] useful for trigonometric calculations. Unlike the [[TI-BASIC:Zdecimal\|ZDecimal]] and [[TI-BASIC:Zinteger\|ZInteger]] commands, for which the distance between two pixels is a short decimal or integer, ZTrig sets the horizontal distance between two pixels to be π/24 (in [[TI-BASIC:Radian_Mode\|Radian]] mode) or 7.5 (in [[TI-BASIC:Degree_Mode\|Degree]] mode) . The specific changes ZTrig makes are:		The ZTrig command sets the screen to a special [[TI-BASIC:Friendly_Window\|Friendly_Window]] useful for trigonometric calculations. Unlike the [[TI-BASIC:Zdecimal\|ZDecimal]] and [[TI-BASIC:Zinteger\|ZInteger]] commands, for which the distance between two pixels is a short decimal or integer, ZTrig sets the horizontal distance between two pixels to be π/24 (in [[TI-BASIC:Radian_Mode\|Radian]] mode) or 7.5 (in [[TI-BASIC:Degree_Mode\|Degree]] mode) . The specific changes ZTrig makes are:
	* Xmin=-352.5[[TI-BASIC:Degree_Symbol\|°]] or -47/24π^^[[TI-BASIC:Radian_Symbol\|r]]^^		* Xmin=-352.5[[TI-BASIC:Degree_Symbol\|°]] or -47/24π<sup>[[TI-BASIC:Radian_Symbol\|r]]</sup>
	* Xmax=352.5° or 47/24π^^r^^		* Xmax=352.5° or 47/24π<sup>r</sup>
	* Xscl=90° or π/2^^r^^		* Xscl=90° or π/2<sup>r</sup>
	* Ymin=-4		* Ymin=-4
	* Ymax=4		* Ymax=4

Maintenance script: Initial automated import

2016-02-24T18:19:47Z

Initial automated import

New page

{{Template:TI-BASIC:Command
|picture=ZTRIG.GIF
|summary=Zooms to a trigonometry-friendly window.
|syntax=ZTrig
|location=Press:
# ZOOM to access the zoom menu.
# 7 to select ZTrig, or use arrows and ENTER.
|compatibility=TI-83/84/+/SE
|size=1 byte
}}

The ZTrig command sets the screen to a special [[TI-BASIC:Friendly_Window|Friendly_Window]] useful for trigonometric calculations. Unlike the [[TI-BASIC:Zdecimal|ZDecimal]] and [[TI-BASIC:Zinteger|ZInteger]] commands, for which the distance between two pixels is a short decimal or integer, ZTrig sets the horizontal distance between two pixels to be π/24 (in [[TI-BASIC:Radian_Mode|Radian]] mode) or 7.5 (in [[TI-BASIC:Degree_Mode|Degree]] mode) . The specific changes ZTrig makes are:
* Xmin=-352.5[[TI-BASIC:Degree_Symbol|°]] or -47/24π^^[[TI-BASIC:Radian_Symbol|r]]^^
* Xmax=352.5° or 47/24π^^r^^
* Xscl=90° or π/2^^r^^
* Ymin=-4
* Ymax=4
* Yscl=1

Although this window is not quite square (and therefore, distances in the X and Y direction are not exactly equally proportioned), it is quite close, when in Radian mode. In a square window (such as the output of [[TI-BASIC:Zsquare|ZSquare]]), Ymax would have to be 31/24π, which is approximately 4.05789. As you can see, the value of 4 that ZTrig uses is not too far off.

= Advanced Uses =

In theory, ZTrig should be quite useful in graphing trigonometric functions, since the calculated points would fall exactly on important angles; for example, it would graph the asymptotes of Y=[[TI-BASIC:Tan|Tan(]]X) correctly. This is actually only true when in [[TI-BASIC:Degree_Mode|Degree]] mode. In [[TI-BASIC:Radian_Mode|Radian]] mode, due to round-off error, the pixels far away from the origin do not ''exactly'' correspond to rational multiples of π. For example, the pixel which was supposed to correspond to π/2 actually has a value of .5000000001*π, which is enough to make this command mostly useless.

Although in [[TI-BASIC:G_T|G_T]] mode, the size that the graph takes up on the screen is different, ZTrig uses the same values, unlike [[TI-BASIC:Zdecimal|ZDecimal]].

= Error Conditions =

* '''[[TI-BASIC:Errors#invalid|ERR:INVALID]]''' occurs if this command is used outside a program (but not if the menu option is used, of course).

= Related Commands =

* [[TI-BASIC:Zdecimal|ZDecimal]]
* [[TI-BASIC:Zinteger|ZInteger]]
* [[TI-BASIC:Zstandard|ZStandard]]

= See Also =

* [[TI-BASIC:Friendly_Window|Friendly Graphing Windows]][[Category:TI-BASIC]]
[[Category:TIBD]]

TI-BASIC:Ztrig - Revision history

Maintenance script: Automated superscript correction

Maintenance script: Initial automated import