TI-BASIC:R Ptheta - Revision history

Maintenance script: Automated internal link correction

2016-02-24T23:53:43Z

Automated internal link correction

← Older revision		Revision as of 23:53, 24 February 2016
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	= Related Commands =		= Related Commands =

	* [[TI-BASIC:~~P►Rx(~~\|P►Rx(]]		* [[TI-BASIC:P_Rx\|P►Rx(]]
	* [[TI-BASIC:P►Ry(\|P►Ry(]]		* [[TI-BASIC:P►Ry(\|P►Ry(]]
	* [[TI-BASIC:~~R►Pr(~~\|R►Pr(]]		* [[TI-BASIC:R_Pr\|R►Pr(]]
	* [[TI-BASIC:Angle\|Angle(]]		* [[TI-BASIC:Angle\|Angle(]]
	* [[TI-BASIC:Tanֿ¹(\|Tanֿ¹(]][[Category:TI-BASIC]]		* [[TI-BASIC:Tanֿ¹(\|Tanֿ¹(]][[Category:TI-BASIC]]
	[[Category:TIBD]]		[[Category:TIBD]]

Maintenance script: Automated superscript correction

2016-02-24T22:23:02Z

Automated superscript correction

← Older revision		Revision as of 22:23, 24 February 2016
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	= Advanced Uses =		= Advanced Uses =

	If you want the result to always be a radian angle, regardless of mode settings, you can divide the result by 1^^[[TI-BASIC:Radian_Symbol\|r]]^^:		If you want the result to always be a radian angle, regardless of mode settings, you can divide the result by 1<sup>[[TI-BASIC:Radian_Symbol\|r]]</sup>:

	R►Pθ(x,y)/1^^r		R►Pθ(x,y)/1^^r

Maintenance script: Initial automated import

2016-02-24T18:09:01Z

Initial automated import

New page

{{Template:TI-BASIC:Command
|picture=RTOPTHETA.GIF
|summary=R►Pθ( calculates the angle coordinate (in polar coordinates) given the Cartesian coordinates.
|syntax=R►Pθ(''x'',''y'')
|location=Press:
# 2nd ANGLE to access the angle menu.
# 6 to select R►Pθ(, or use arrows and ENTER.
|compatibility=TI-83/84/+/SE
|size=1 byte
}}

R►Pθ( (Rectangular to polar θ) takes the (''x'',''y'') (Cartesian) coordinate, and returns the angle that the ray from (0,0) to (''x'',''y'') makes with the positive x-axis. This is the θ-coordinate of the same point in (''r'',''θ'') (polar) mode. The identity used for this conversion is tan(''θ'')=''y''/''x'', with the correct inverse being chosen depending on the quadrant that the point is in. The range of the angle returned is -π<''θ''≤π. R►Pθ( can also be used on lists.

R►Pθ( is equivalent to the atan2() instruction seen in C/++ and FORTRAN.

R►Pθ(3,4)
.927295218
tanֿ¹(4/3)
.927295218
R►Pθ(0,{1,-1})
{1.570796327, -1.57096327}

R►Pθ( is affected by [[TI-BASIC:Degree_Mode|Degree]] and [[TI-BASIC:Radian_Mode|Radian]] mode in its output, which is an angle measured in degrees or radians respectively.

= Advanced Uses =

If you want the result to always be a radian angle, regardless of mode settings, you can divide the result by 1^^[[TI-BASIC:Radian_Symbol|r]]^^:

R►Pθ(x,y)/1^^r

If you want the result to always be a degree angle, regardless of mode settings, you can divide the result by 1[[TI-BASIC:Degree_Symbol|°]]:

R►Pθ(x,y)/1°

= Error Conditions =

* '''[[TI-BASIC:Errors#datatype|ERR:DATA TYPE]]''' is thrown if you input a complex argument.
* '''[[TI-BASIC:Errors#dimmismatch|ERR:DIM MISMATCH]]''' is thrown if two list arguments have different dimensions.

= Related Commands =

* [[TI-BASIC:P►Rx(|P►Rx(]]
* [[TI-BASIC:P►Ry(|P►Ry(]]
* [[TI-BASIC:R►Pr(|R►Pr(]]
* [[TI-BASIC:Angle|Angle(]]
* [[TI-BASIC:Tanֿ¹(|Tanֿ¹(]][[Category:TI-BASIC]]
[[Category:TIBD]]