{"id":230,"date":"2001-01-01T01:01:36","date_gmt":"2001-01-01T06:01:36","guid":{"rendered":"https:\/\/trigonography.com\/?page_id=230"},"modified":"2022-06-30T06:55:36","modified_gmt":"2022-06-30T11:55:36","slug":"toc","status":"publish","type":"page","link":"https:\/\/trigonography.com\/?page_id=230","title":{"rendered":"Table of Contents"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><style>\ndiv.eqnitem { text-align:center;padding:2px;padding-bottom:20px; }<br \/>\ndiv.txtitem { padding-top:2px;padding-left:20px;padding-right:20px;padding-bottom:20px; }<br \/>\n<\/style><\/p>\n\n\n\n<div style=\"text-align: left; width: 480px; margin: 0 auto 20px auto; border: 1px solid #ccf; background: #f6f6ff; font-size:12pt;\">\n<h2 style=\"text-align: center;\">The Trigonographer&#8217;s Spotlight<\/h2>\n<ul style=\"list-style-type: none;\">\n<li><a href=\"https:\/\/trigonography.com\/2015\/09\/28\/angle-sum-and-difference-for-sine-and-cosine\/\">Angle Sum and Difference for Sine and Cosine<\/a>\n<div class=\"eqnitem\">\\( \\begin{align}<br>\\sin(\\alpha\\pm\\beta) &amp;= \\sin\\alpha \\cos\\beta \\pm \\cos\\alpha \\sin\\beta \\\\<br>\\cos(\\alpha\\pm\\beta) &amp;= \\cos\\alpha \\cos\\beta \\mp \\sin\\alpha \\sin\\beta<br>\\end{align}\\)<\/div>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2015\/09\/30\/combining-sine-and-cosine\/\">Combining Sine and Cosine<\/a>\n<div class=\"eqnitem\">\\(<br>\\begin{align}<br>p \\sin\\theta + q \\cos\\theta &amp;= r \\sin\\left( \\theta + \\phi \\right) \\\\<br>p \\cos\\theta \\,- q \\sin\\theta &amp;= r \\cos\\left( \\theta + \\phi \\right)<br>\\end{align}\\)<\/div>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2016\/07\/18\/exponential-forms-of-hyperbolic-sine-and-cosine\/\">Exponential Forms of Hyperbolic Sine and Cosine<\/a>\n<div class=\"eqnitem\">\\(<br>\\begin{align}<br>2 \\sinh u &amp;= e^{u} -\\,e^{-u} \\\\<br>2 \\cosh u &amp;= e^{u} + e^{-u}<br>\\end{align}\\)<\/div>\n<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div style=\"text-align: left; width: 640px; margin: 0 auto; font-size:12pt;\">\n<ul style=\"list-style-type: none;\">\n<li><a href=\"https:\/\/trigonography.com\/2022\/06\/28\/coexist\/\">COEXIST<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2022\/06\/20\/half-angle-identities-in-a-triangle\/\">Half-Angle Identities in a Triangle<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2018\/05\/12\/the-inscribed-angle-theorem-without-the-triangle-angle-sum-theorem\/\">The Inscribed Angle Theorem without the Triangle Angle-Sum Theorem<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2018\/03\/14\/pi-by-ramanujan\/\">Pi by Ramanujan<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2017\/10\/22\/the-law-of-cosines\/\">The Law of Cosines<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2017\/08\/12\/a-divided-angle-tangent-inequality\/\">A Divided Angle Tangent Inequality<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2017\/05\/23\/inradius-and-circumradius-of-a-right-triangle\/\">Inradius and Circumradius of a Right Triangle<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2017\/03\/14\/chicken-taught-pi\/\">Chicken-Taught Pi<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2017\/02\/14\/euclid-cupid\/\">Euclid + Cupid<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2016\/10\/31\/happy-halloween\/\">Happy Hallowe&#8217;en<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2016\/09\/06\/trigonography-challenge-series-for-cotangent-and-cosecant\/\">Trigonography Challenge: Series for Cotangent and Cosecant<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2016\/08\/28\/involute-zig-zag-power-series-for-secant-and-tangent\/\">Involute Zig-Zag: Power Series for Secant and Tangent<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2016\/08\/25\/chaikovskys-involute-pinwheel-power-series-for-sine-and-cosine\/\">Chaikovsky&#8217;s Involute Pinwheel: Power Series for Sine and Cosine<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2016\/08\/01\/angles-and-tangents-in-arithmetic-progression\/\">Angles and Tangents in Arithmetic Progression<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2016\/07\/30\/two-circles-puzzle\/\">Two Circles Puzzle<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2016\/07\/18\/exponential-forms-of-hyperbolic-sine-and-cosine\/\">Exponential Forms of Hyperbolic Sine and Cosine<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2016\/06\/22\/special-angles-are-golden-ii\/\">Special Angles are Golden, II<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2016\/06\/22\/sum-of-sines-sum-of-cosines-sum-of-angles\/\">Sum of Sines, Sum of Cosines, Sum of Angles<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2016\/03\/14\/nearly-pi-from-square-roots\/\">&#40;Nearly-&#41;Pi from Square Roots<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2016\/06\/05\/special-angles-are-golden\/\">Special Angles are Golden<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2016\/06\/04\/compound-hypotenuse\/\">Compound Hypotenuse<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2016\/01\/10\/trig-sums-with-angles-in-arithmetic-progression\/\">Trig Sums with Angles in Arithmetic Progression<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2016\/01\/10\/three-squares-puzzle\/\">Three Squares Puzzle<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2015\/12\/28\/a-ratio-of-trig-sums\/\">A Ratio of Trig Sums<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2015\/11\/09\/cartographers-tangent-formula\/\">Cartographer&#8217;s Tangent Formulas<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2015\/11\/03\/an-arctangent-identity\/\">An Arctangent Identity<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2015\/10\/01\/a-reciprocal-sum-inequality\/\">A Reciprocal Sum Identity<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2015\/09\/30\/combining-sine-and-cosine\/\">Combining Sine and Cosine<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2015\/09\/28\/angle-sum-and-difference-for-sine-and-cosine\/\">Angle Sum and Difference for Sine and Cosine<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2015\/09\/28\/pythagoras-in-disguise\/\">Pythagoras in Disguise<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2015\/09\/28\/half-angle-differences-for-triangles\/\">Half-Angle Differences for Triangles<\/a>\n<\/li>\n<li><a href=\"https:\/\/trigonography.com\/2015\/09\/28\/a-cotangent-identity-for-triangles\/\">A Cotangent Identity for Triangles<\/a>\n<\/li>\n<\/ul>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>The Trigonographer&#8217;s Spotlight Angle Sum and Difference for Sine and Cosine \\( \\begin{align}\\sin(\\alpha\\pm\\beta) &amp;= \\sin\\alpha \\cos\\beta \\pm \\cos\\alpha \\sin\\beta \\\\\\cos(\\alpha\\pm\\beta) &amp;= \\cos\\alpha \\cos\\beta \\mp \\sin\\alpha \\sin\\beta\\end{align}\\) Combining Sine and Cosine \\(\\begin{align}p \\sin\\theta + q \\cos\\theta &amp;= r \\sin\\left( \\theta + \\phi \\right) \\\\p \\cos\\theta \\,- q \\sin\\theta &amp;= r \\cos\\left( \\theta + \\phi \\right)\\end{align}\\) Exponential [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-230","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/trigonography.com\/index.php?rest_route=\/wp\/v2\/pages\/230","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/trigonography.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/trigonography.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/trigonography.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/trigonography.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=230"}],"version-history":[{"count":10,"href":"https:\/\/trigonography.com\/index.php?rest_route=\/wp\/v2\/pages\/230\/revisions"}],"predecessor-version":[{"id":1298,"href":"https:\/\/trigonography.com\/index.php?rest_route=\/wp\/v2\/pages\/230\/revisions\/1298"}],"wp:attachment":[{"href":"https:\/\/trigonography.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=230"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}