From f9cfdeb35bb89010556a67aa55ef40390eb60d11 Mon Sep 17 00:00:00 2001 From: Steve Fanning Date: Sat, 28 Dec 2024 20:25:13 +0000 Subject: [PATCH] Add TAN function description --- docs/src/functions/images/tangent-curve.png | Bin 0 -> 104583 bytes docs/src/functions/math-and-trigonometry.md | 2 +- .../functions/math_and_trigonometry/tan.md | 43 ++++++++++++++++-- xlsx/tests/docs/TAN.xlsx | Bin 0 -> 14098 bytes 4 files changed, 39 insertions(+), 6 deletions(-) create mode 100644 docs/src/functions/images/tangent-curve.png create mode 100644 xlsx/tests/docs/TAN.xlsx diff --git a/docs/src/functions/images/tangent-curve.png b/docs/src/functions/images/tangent-curve.png new file mode 100644 index 0000000000000000000000000000000000000000..e4b3fcf485953122eea5b7993028003013df0833 GIT binary patch literal 104583 zcmY&=WmHw$_ck1kgaXnfA>Ab*DIndF(kb1NN~d&}fP`?6Zb=F07LJmF2uMmRUGF-m z_x=6vhkJ*2$YAZY*P8RGxg(ya$YR|lyN!f|ge5O0rH+IItwKUVxsQ$t{twUhObGZ7 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function is implemented but currently lacks detailed documentation. For guidance, you may refer to the equivalent functionality in [Microsoft Excel documentation](https://support.microsoft.com/en-us/office/excel-functions-by-category-5f91f4e9-7b42-46d2-9bd1-63f26a86c0eb). -::: \ No newline at end of file +**Note:** This draft page is under construction 🚧 +::: +## Overview +TAN is a function of the Math and Trigonometry category that calculates the trigonometric tangent of an angle, returning a value in the range (-$\infty$, +$\infty$). +## Usage +### Syntax +**TAN(angle) => tan** +### Argument descriptions +* *angle* ([number](/features/value-types#numbers), required). The angle whose tangent is to be calculated, expressed in radians. To convert between degrees and radians, use the relation below. Alternatively, use the [DEGREES](/functions/math_and_trigonometry/degrees) or [RADIANS](/functions/math_and_trigonometry/radians) functions. +$$ +1~\:~\text{degree} = \dfrac{\pi}{180} = 0.01745329252~\text{radians} +$$ + +### Additional guidance +None. +### Returned value +TAN returns a unitless [number](/features/value-types/#numbers) that is the trigonometric tangent of the specified angle. +### Error conditions +* In common with many other IronCalc functions, TAN propagates errors that are found in its argument. +* If no argument, or more than one argument, is supplied, then TAN returns the [`#ERROR!`](/features/error-types.md#error) error. +* If the value of the *angle* argument is not (or cannot be converted to) a [number](/features/value-types#numbers), then TAN returns the [`#VALUE!`](/features/error-types.md#value) error. +* For some argument values, TAN may return a [`#DIV/0!`](/features/error-types.md#div-0) error. + +## Details +* The TAN function utilizes the *tan()* method provided by the [Rust Standard Library](https://doc.rust-lang.org/std/). +* The figure below illustrates the output of the TAN function for angles $x$ in the range -2$π$ to +2$π$. +
Graph showing tan(x) for x between -2π and +2π.
+ +* Theoretically, $\text{tan}(x)$ is undefined for any critical $x$ that satisfies $x = \frac{\pi}{2} + k\pi$ (where $k$ is any integer). However, an exact representation of the mathmatical constant $\pi$ requires infinite precision, which cannot be achieved with the floating-point representation available. Hence, TAN will return very large or very small values close to critical $x$ values. +## Examples +[See some examples in IronCalc](https://app.ironcalc.com/?example=tan). + +## Links +* For more information about trigonometric tangent, visit Wikipedia's [Trigonometric functions](https://en.wikipedia.org/wiki/Trigonometric_functions) page. +* See also IronCalc's [ATAN](/functions/math_and_trigonometry/atan), [COS](/functions/math_and_trigonometry/cos) and [SIN](/functions/math_and_trigonometry/sin) functions. +* Visit Microsoft Excel's [TAN function](https://support.microsoft.com/en-gb/office/tan-function-08851a40-179f-4052-b789-d7f699447401) page. +* Both [Google Sheets](https://support.google.com/docs/answer/3093586) and [LibreOffice Calc](https://wiki.documentfoundation.org/Documentation/Calc_Functions/TAN) provide versions of the TAN function. \ No newline at end of file diff --git a/xlsx/tests/docs/TAN.xlsx b/xlsx/tests/docs/TAN.xlsx new file mode 100644 index 0000000000000000000000000000000000000000..4fda7bbcb6c4749e9b1b6cec70aee530ed6aaf35 GIT binary patch literal 14098 zcmeHuWmH|swl(eqch_LS-95Ow+ri=BF2UVhLvRo74ncxjaQEQu@X_7(zP_FA_xt8`0)YVm0U-f#V%IA400jXFgaiRW1Azh476IBi z0c@T0Rov|Wj=J=2HrB+s5MWd}AYgCr|M&Vo?16HXQ8_Rsy_XWMl~U0oJyi`Tr}Ga22**ROl`i(D zPxwQ)RQ)uQ8J6>{Iz0CnQ=2S-V($3c%QM^PNl`T~A8%1!yl?<|9_pA=55ryWosj3S z2cOz?goC++LhI~5&B=K}@qN=NgD@4=X}>Ikzl-t~4pEbfv80cqeQy}!8Tnb;BU4y3 z8y9vA>ufsL#_2sXGI>oEa7yG`huLOS=k5 zw34X!e3D#7s*lPe$6M)qkB_W^8vy>%x83LI`_c+;)XzbZn@!g82vl?)vIf_R;FJe@ zXJ{Hqhh%a4@{K+em)Yyto3xKo?o=-AF*IdO#b2a{*2u)C&qb?|$LZB^VbKckgE9Hi z{IvRIHCK)9DnVz3m5(ces~S0SekP1(_|7F49v}*Ya>*P`rC|&@8ksFrdJS5WT;JoW zDw}gzR2gMEaFe?0n^<>Uie_}8J$rqS%N$f9WktPX9{)H%k#p^mZW?q$(@d}m+XnW&F!cuOUm1#-vIiwX(1IlS!qrd6Y^33gx=Y zRAY?`w&yC67S-iy+;X{fPUGp0`QdwUYzp1@N;OC13lOB}K^&5NJ|XOBEyYPxF|<{h zi4FQn{aKxuEERlo+mZb>0yK17_$$cj9*OW!-tTz1GK6_chPLe!Vh~7#k?B;rSRyJSFM~yHZ_+}U(e1A|Q+*-0g?P-Lob8JXwd6`r z)q!-1tvei$eKj?|T-&g11=H;;JkF{Y!Y0~uB70k|lGO0nBHQ5Ut8k+Ns(<7Titk@J z*+#jWf#)`a{$=9A(bck;h)!}7!-ics2%ivezr+=R$wBy7h~uYJsSlJUb54jZD?#2wy#o6M9R~~n zt=&fjIu2)MU}k~l(ZSFCTk$L3tx2Vy5W=hoUIz*Vej`w(; zLXqNvlcV;w&77iY_>Yx41^0t^TdYHEPl9S8oln~<81v5-QYz5i71}NOA3a7~TOUVv zT#VI=kg~8wm9lPE4tyQkg7&REavgnKbB!;qJ$$@#PgU7{o5tmxv-JiJuAE*Etl6Kf zvY)wldtL?t7rnc$=Z9wqO&reOnEH1P$3rI`LA9^rgvd}JbY3nQsNN~vcy*c$(b<4P| zB7=1P&|;$iu-;{00m7m}2#G!40%u9)X{_;q)j}S>k*q^PA=1=18?nGNdWe#rKw=|t z_?MWmSF6@iOIALf=gGJocueNAiGD~?zYa>ZGwt_rDBFO?(exYqap8nVjqm59$=Ee) zI31Y+P$GS310@*SoSK2n`e@?DWuFn)UHrM~lj$8AEvXPZXx8QjM#gKIfUn(ywex!d zZ=e3}F%(6KmecaKws}AS0l|KI<6n8e(HsD9a%A|uVfrm0WF|<*WH6!!-6lN{#oqQ| zqoOJdQe~0vcyAGI-fm=Euu-%U$Ip~SGhw)_ zu6(tAQ0g?sY`1sj>N7TUXEkURVp~*FCA&2w?}cqo4O2_w!A!-i*;rp7s&kqK9&|r& zoCr^E5@znYw66sA>?4vUD@pnu<&aO1`f9QDUljCoAeE1c*;Tpqxlv+e*uL~jN*hM8 zB%P9^Wm|UG2;|}HY)Z8pztSTdD#P85tod`0;WT?mp}$_^KEWTtG=KV9yf@f zuks7X39pYweAZD1v-ih$O5bv&AJp*@70xRz)<#}f233zIJw81*f_@*~Ldfje&UI!W ztWz;WCq2V8UwH9P<@KS0k-Dk5VjClGCyA&r2~{>aY@6&HgEzaEOwA5*dySd6H^wtw zp4Empmb!!fEl7Tkl=2iC;36aPKqs8^t-md4H35$cvM4FMMAD+|p?SS4T5gV<))K77 zocH6(0!dgFMCgpGA;Yl1 z(#qx5k^5!S`~lL}M26(vN8bg@Rvo@>j!l*giad&z)EuOC1fThyxfIbz{}dB+x=RcT z@1Qz$lWUAVJth`fVFr)^;tpa1pkSBaH8)NmQHRdeI5<1p4+*CAj(j>58Z~kiUZv_h zZZ?<8A!py7v0F8NN1Ebo87dsqegdV52>V4FyYW>Azc^{1wihjd``U31^~RKh`>V&c zSN;#Y(GiHHLRlnt^JUQFUICv1DT%S8`PBB6*TXf*g+b#&MSkMfR8MO4wqso5pe54M zyUD2Z6@ue(or5$Neao}6-1PgZ#v9v8O}HFAu+cgqeRe^ppf5qXMP(8f*&I$5Lc*qo zn}r3M$B%7Cf}Oye%M@q*P%VzMDVN9agzMoodQf4FtZTp&w2_XsHmd$)SP{fW$6n_7 zwNbNTK#wMvnxd*(o(e=S*IvvIUe7J?mS8FpkKkP5GV1b#|DcILVN#_`a+b zYTo>GAeerJu-{I((&D?%p7|mhGnwd}TK0_l3jTViW;ReuY}1;8i!=MtT290CEd`Uh zJVH;arBC~keu1`hH9=y|hKk&`<)~h)mvyq&g=%v9`4A96D+;RcmdlWA^a__39(662 z5ttL*umH?$=dDO>PG?9?uCE4c4QfTTgf`{<<&d`$0b+hD3e*dgUU6q zsG0I0RQI*y(fW!|d0-IG;=5S8jT`xmt`EtVR|`s@l+3U>nFrG_(}yRLzS&$Xe&IXf z3OZA+hOo>cM6QJ*ORdJecCq|1<20^{as$){?mmO^tqnXKJ>2}v;)&SAG(Mf_=lSBY zS7EJ~#b2Wnk>=Zr*&?@+mhPiDb?~KHur)(xRnE$;DFA-YWiio+EW}6kK!$OMeIy6X z@^-NuEQ9y-@S!6yA&xD1-L{CsSO+mz+Cj>nG-j+OqV>~E*XU=gM-|$2Ov{Bp#{qWv z)gd-{u6DfaoG18eqW_^0Ym^XNk065BSLSUHH58PB>Gp_95C6e@7NM*_R#G<)Z9|t= zZ@1Um@HFwd5ocKWbiN)R*I0$Z@pgi))CjD3OAjUWwr$ELCw*cGy#+9(A3L(WI z$`_?TcnGG#pZj!d{^89ej}NXp=-svlAZ5$meT32^7aPA*`PaqqjX|AI(_0S;>2G@0 z@8i9bIlu%woq_p3v2UR$f`6sC6?HDElGTGNqUI+2?jqvdH7r}TVR|b}uQ@)qo z_JIM87{}X$veYl|q~tr2bMPm3grq}};}$hX9`cl1QcEIA8z#{>@)C2}Xb0X7r&}>6 zo8TC6sl>7J+n^^NaY_e5^)zOTkvjz0@en@Rb|}V>jYgVT@LsSU#%hS(otjZhvb>4w z*facEbo-GxVQL2}OH@QmO|pqI;4GA5b(Thw*hf#i6EMxm;FJ@Prn*SGX_v#W%}Rtu z8Z>ub4)1rz%T`;pzd<)6D|?zqI~ZT44DWzlUQUcqCr=;ezff7v1yuNe8(3m-SRTGs z@Pl{N;_zDZ7nHM@vp&0|8cXLKO?_#dhO=bv$nR|E<=SU`G+dbi3Z}h0oUlamN&!5T`M$i&Hm*GkMRjmD1=3()C$EHlHLtCc86cOH3S4F9msv{ybJG!24utwRAXuQoKr*Q}9bAH&pP zH_F!)wzED-6Lck|O9PEkZJy1XN!3OUt0?i>KMrfpyJD88<-%9U(oLaHb%i75Et5r= zHc^5h5i~&()y-gqC1h6*$k-|>9#12_0wQtuLN-Ee-!{z^PR*V@&~x} zKxv13XdtuX99t{(MW__5$@pOW>4sxlN3z=w&amqFqI-xo+n^JbE+Z!ew?5N7z&dQu z1=8j>i^PwpPKo}Wb@GQ6ffeo2YtpW5l|eh59Gb>e^q*Ipbo~*Us}aa=I2uMFSgia> z4JcD{$<$jQQHGy`LRZzJ=D$-nR$4eMhDUP`A#3ysM@`1B?J-G&_dc7N|!|H5L! 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