[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-572666-105":53,"doc-detail-572666-en":120},{"code":4,"msg":5,"data":6},0,"success",[7,14,19,24,29,34,39,44,49],{"id":8,"doc_module":9,"doc_module_name":10,"category_name":11,"show_sort_weight":12,"slug":13},11,1,"Template","Presentations",90,"presentations",{"id":15,"doc_module":9,"doc_module_name":10,"category_name":16,"show_sort_weight":17,"slug":18},12,"Resumes",80,"resumes",{"id":20,"doc_module":9,"doc_module_name":10,"category_name":21,"show_sort_weight":22,"slug":23},14,"Invoices",70,"invoices",{"id":25,"doc_module":9,"doc_module_name":10,"category_name":26,"show_sort_weight":27,"slug":28},15,"Posters",60,"posters",{"id":30,"doc_module":9,"doc_module_name":10,"category_name":31,"show_sort_weight":32,"slug":33},16,"Social Media",50,"social-media",{"id":35,"doc_module":9,"doc_module_name":10,"category_name":36,"show_sort_weight":37,"slug":38},17,"Forms",40,"forms",{"id":40,"doc_module":9,"doc_module_name":10,"category_name":41,"show_sort_weight":42,"slug":43},18,"Letters",30,"letters",{"id":45,"doc_module":9,"doc_module_name":10,"category_name":46,"show_sort_weight":47,"slug":48},21,"Paper Templates",5,"papers-templates",{"id":50,"doc_module":9,"doc_module_name":10,"category_name":51,"show_sort_weight":4,"slug":52},158,"General","general-158",{"code":4,"msg":54,"data":55},"ok",{"site_id":56,"language":57,"slug":58,"title":59,"keywords":60,"description":61,"schema_data":62,"social_meta":113,"head_meta":115,"extra_data":117,"updated_unix":119},105,"en","lsc-cyfair-formula-sheet-critical-course-formulas","LSC-CyFair Formula Sheet - Critical Course Formulas","","A formula sheet for Lone Star College-CyFair covering essential mathematics reference formulas students must memorize for Math 1314 College Algebra, Math 1316 Trigonometry, and Math 2412 Precalculus. It lists key distance, circle, line, and quadratic formulas; a library of common functions and geometry formulas; logarithm properties; unit circle and trigonometric function relationships; and major identity, triangle solving, and arc/area/speed applications. It also includes precalculus tools like half-angle, complex numbers, DeMoivre’s theorem, and conic sections.",{"@graph":63,"@context":112},[64,80,95],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":36,"@type":70,"position":76},"https://docshare.wps.com/template/forms/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/lsc-cyfair-formula-sheet-critical-course-formulas/572666/",4,{"url":78,"name":59,"@type":81,"author":82,"headline":59,"publisher":85,"fileFormat":88,"inLanguage":57,"description":61,"dateModified":89,"datePublished":89,"encodingFormat":88,"isAccessibleForFree":90,"interactionStatistic":91},"DigitalDocument",{"name":83,"@type":84},"Syukur Setiap Hari","Person",{"url":68,"name":86,"@type":87},"DocShare","Organization","application/pdf","2026-10-13",true,{"@type":92,"interactionType":93,"userInteractionCount":4},"InteractionCounter",{"@type":94},"ViewAction",{"@type":96,"mainEntity":97},"FAQPage",[98,104,108],{"name":99,"@type":100,"acceptedAnswer":101},"What rules govern using this formula sheet during tests?","Question",{"text":102,"@type":103},"Students cannot bring these formulas on a formula sheet or card to tests. Instructors must not provide the formulas during the test, including on the board or in a handout.","Answer",{"name":105,"@type":100,"acceptedAnswer":106},"Which subjects and course levels does the formula sheet cover?",{"text":107,"@type":103},"It covers Math 1314 College Algebra, Math 1316 Trigonometry, and Math 2412 Precalculus, including related formula libraries and applications.",{"name":109,"@type":100,"acceptedAnswer":110},"What types of formulas are included for Math 1314?",{"text":111,"@type":103},"Math 1314 includes formulas for distance, circles, slope and line equations, the quadratic formula, a library of functions, geometry formulas, and properties of logarithms.","https://schema.org",{"og:url":78,"og:type":114,"og:title":59,"og:site_name":86,"og:description":61},"article",{"robots":116,"canonical":78},"index,follow",{"doc_id":118,"site_id":56},572666,1791928768,{"code":4,"msg":5,"data":121},{"doc_id":118,"user_id":122,"nickname":83,"user_avatar":123,"doc_module":9,"category_id":35,"category_name":36,"doc_title":59,"doc_description":61,"doc_content":124,"file_id":125,"file_url":126,"file_type":127,"file_size":128,"view_count":4,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":8,"language":129,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":130,"faqs":131,"seo_title":132,"seo_description":61,"update_tm":119,"read_time":79},962093541965,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Lone Star College-CyFair Formula Sheet  \nThe following formulas are critical for success in the indicated course. Student CANNOT bring these formulas on a formula sheet or card to tests and instructors MUST NOT provide them during the test either on the board or on a handout. They MUST be memorized.  \nMath 1314 College Algebra  \nFORMULAS/EQUATIONS  \n\n| Distance Formula | If 􀜲1 = (􀝔1, 􀝕1) and 􀜲2 = (􀝔2, 􀝕2), the distance from 􀜲1 to 􀜲2 is 􀝀 (􀜲1, 􀜲2) = √(􀝔2 − 􀝔1)2 + (􀝕2 − 􀝕1)2 |  |\n| --- | --- | --- |\n| Standard Equation Of a Circle | The standard equation of a circle of radius 􀝎 with center at (ℎ, 􀝇) is\u003Cbr>(􀝔 − ℎ)2 + (􀝕 − 􀝇)2 = 􀝎 2 |  |\n| Slope Formula | The slope 􀝉 of the line containing the points 􀜲1 = (􀝔1, 􀝕1) and 􀜲2 = (􀝔2, 􀝕2) is\u003Cbr>􀝉 = 􀝕􀝔22~~ ~~−~~ ~~􀝕􀝔11~~ ~~ if 􀝔1 ≠ 􀝔2\u003Cbr>􀝉 is undefined if 􀝔1 = 􀝔2 |  |\n| Point-slope\u003Cbr>Equation of a Line | The equation of a line with slope 􀝉 containing the points (􀝔1, 􀝕1) is\u003Cbr>􀝕 − 􀝕1 = 􀝉 (􀝔 − 􀝔1) |  |\n| Slope-Intercept Equation of a Line | The equation of a line with slope 􀝉 and 􀝕-intercept 􀜾 is\u003Cbr>􀝕 = 􀝉􀝔 + 􀜾 |  |\n| Quadratic Formula | The solutions ofthe equation 􀜽􀝔 2 + 􀜾􀝔 + 􀜿 = 0, 􀜽 ≠ 0, are |  |\n|  | 􀝔 = | −􀜾 ± √􀜾2 − 4􀜽􀜿\u003Cbr>2􀜽 |\n\nLIBRARY OF FUNCTIONS  \n\n| Constant Function\u003Cbr>􀝂 (􀝔) = 􀜾 | Identity Function\u003Cbr>􀝂 (􀝔) = 􀝔 | Square Function\u003Cbr>􀝂 (􀝔) = 􀝔 2 | Cube Function\u003Cbr>􀝂 (􀝔) = 􀝔 3 |\n| --- | --- | --- | --- |\n| | | | |\n| Reciprocal Function\u003Cbr>􀝂 (􀝔) = 1􀝔 | Squared Reciprocal Function\u003Cbr>􀝂 (􀝔) =  1 􀝔 2 | Square Root Function\u003Cbr>􀝂 (􀝔) = √􀝔 | Cube Root Function\u003Cbr>􀝂 (􀝔) = 3√􀝔 |\n| | | | |\n| Absolute Function\u003Cbr>􀝂 (􀝔) = |􀝔| | Exponential Function\u003Cbr>􀝂 (􀝔) = 􀝁 􀯫 | Natural Logarithm\u003Cbr>Function\u003Cbr>􀝂 (􀝔) = ln 􀝔 | Greatest Integer\u003Cbr>Function\u003Cbr>􀝂 (􀝔) = ⟦􀝔⟧ |\n| | \u003Cbr>􀢟 􀢌 (􀢞) = 􀢋􀢞\u003Cbr>(􀫚 , 􀢋)\u003Cbr>൬−􀫚 , ~~ ~~􀫚􀢋൰ (􀫙, 􀫚)\u003Cbr>􀢞 | \u003Cbr>􀢟\u003Cbr>􀢌 (􀢞) = 􀜔􀜖􀢞\u003Cbr>(􀢋, 􀫚)\u003Cbr>(􀫚 , 􀫙)\u003Cbr>൬􀫚􀢋 , −􀫚൰ 􀢞 | \u003Cbr>􀢟\u003Cbr>􀢌 (􀢞) = ⟦􀢞⟧ \u003Cbr>􀢞 |\n\nGEOMETRY FOMULAS  \n\n| Circle | \u003Cbr>r |  | 􀝎 = Radius , 􀜣 = Area, 􀜥 = Circumference\u003Cbr>􀡭 = 􀣊􀢘􀫛\u003Cbr>􀡯 = 􀫛􀣊􀢘 |  |  |\n| --- | --- | --- | --- | --- | --- |\n| Triangle | \u003Cbr>b |  | 􀜾 = Base , ℎ = Altitude (Height) , 􀜣 = Area |  |  |\n|  |  |  | 􀡭 = | 􀫚􀫛 | 􀢈􀢎 |\n| Rectangle | | 􀝓 | 􀝈 = Length , 􀝓 = Width, 􀜣 = Area, 􀜲 = Perimeter\u003Cbr>􀡭 = 􀢒􀢝\u003Cbr>􀡼 = 􀫛􀢒 + 􀫛􀢝 |  |  |\n|  | 􀝈 |  |  |  |  |\n| Rectangular Box | |  | 􀝈 = Length , 􀝓 = Width, ℎ = Height,\u003Cbr>􀜸 = Volume , 􀜵 = Surface Area\u003Cbr>􀢂 = 􀢒􀢝􀢎\u003Cbr>􀡿 = 􀫛􀢒􀢝 + 􀫛􀢒􀢎 + 􀫛􀢝􀢎 |  |  |\n\nPROPERTIES OF LOGARITHMS  \n• log 􀯔 (􀜯􀜰) = log 􀯔 􀜯 + log􀯔 􀜰  \n• log 􀯔 (􀯆􀯇) = log 􀯔 􀜯 − log􀯔 􀜰  \n• log 􀯔 􀜯􀯥 = 􀝎 log􀯔 􀜯  \n• log 􀯔 􀜯 = lloogg􀯆􀯔 = llnn􀯆􀯔  \n• 􀜽 􀯫 = 􀝁 􀯫 ln 􀯔  \nMath 1316 Trigonometry  \nStudents in Trigonometry should know all the formulas from Math 1314 College Algebra plus the following.  \nUnit Circle 􀢞􀫛 + 􀢟 􀫛 = 􀫚  \nTRIGONOMETRIC FUNCTIONS  \nOf an Acute Angle  \nsin 􀟠 = 􀯕􀯖 = HOypppoosittenuesecos 􀟠 = 􀯔􀯖 = HAydpjaceotennutsetan 􀟠 = 􀯕􀯔 = OppAdjaocseitnet  \nOf a General Angle  \nsin 􀟠 = cos 􀟠 = tan 􀟠 =  \n􀯕  \n􀯥  \n􀯔  \n􀯥  \n􀯕  \n􀯔  \n,  \n􀜽 ≠ 0  \nAPPLICATIONS  \n􀢙  \nSOLVING TRIANGLES  \nb  \ncsc 􀟠 = 􀯖􀯕 = HyOppoptenuositsee sec 􀟠 = 􀯖􀯔 = HyApdotenjaceunste cot 􀟠 = 􀯔􀯕 = AdjaOppcoesintte  \ncsc 􀟠 = sec 􀟠 = cot 􀟠 =  \n􀯥  \n􀯕  \n􀯥  \n􀯔  \n􀯔  \n􀯕  \n,  \n,  \n,  \n􀜾 ≠ 0  \n􀜽 ≠ 0  \n􀜾 ≠ 0  \n􀢟  \nArc Length: 􀝏 = 􀝎􀟠 , 􀟠 in radians  \nArea of Sector: 􀜣 = 12 􀝎 2 􀟠 , 􀟠 in radians  \nAngular Speed: 􀟱 = 􀰏􀯧 , 􀟠 in radians  \nLinear Speed: 􀝒 = 􀯦􀯧 , 􀝒 = 􀟱􀝎  \nLaw of Sine: sin􀯔􀮺 =  \nsin 􀮻  \n􀯕  \n=  \nsin 􀮼  \n􀯖  \nLaw of Cosine: 􀜽 2 = 􀜾 2 + 􀜿 2 − 2􀜾􀜿 cos 􀜣  \n􀜾 2 = 􀜽 2 + 􀜿 2 − 2􀜽􀜿 cos 􀜣  \n􀜿 2 = 􀜽 2 + 􀜾 2 − 2􀜽􀜾 cos 􀜣  \nTRIGONOMETRIC IDENTITIES  \nFundamental Identities  \ntan􀟠 = sicons􀰏􀰏~~ ~~ cot 􀟠 = cossin􀰏􀰏  \ncsc 􀟠 = si1n~~ ~~􀰏~~ ~~ sec 􀟠 = co1s~~ ~~􀰏~~ ~~ cot 􀟠 = ta1n~~ ~~􀰏 sin2 􀟠 + cos 2 􀟠 = 1  \n1 + tan2 􀟠 = sec 2 􀟠  \n1 + cot 2 􀟠 = csc 2 􀟠  \nEven-Odd Identities  \nsin (−􀟠) = − sin 􀟠 cos (−􀟠) = cos 􀟠 tan (−􀟠) = − tan 􀟠  \ncsc ( − 􀟠) = − csc 􀟠 sec ( − 􀟠) = sec 􀟠 cot ( − 􀟠) = − cot 􀟠  \nCofunction Identities  \ncos (90° − 􀟠) = sin 􀟠 sin (90° − 􀟠) = cos 􀟠 tan (90° − 􀟠) = tan 􀟠  \nSum and Difference Formulas  \nsin (􀟙 + 􀟚) = sin 􀟙 cos 􀟚 + cos","cbCaif7TB5VpkkXv","https://ap.wps.com/l/cbCaif7TB5VpkkXv","pdf",1657018,"English","# Math 1314 College Algebra\n## Formulas/Equations\n## Library of Functions\n## Geometry Formulas\n## Properties of Logarithms\n# Math 1316 Trigonometry\n## Unit Circle\n## Trigonometric Functions\n## Applications and Solving Triangles\n## Trigonometric Identities\n## Library of Trigonometric Functions\n# Math 2412 Precalculus\n## Half Angle Formulas\n## Complex Numbers in Polar Form\n## DeMoivre’s Theorem and Complex Roots\n## Conics","[{\"question\":\"What rules govern using this formula sheet during tests?\",\"answer\":\"Students cannot bring these formulas on a formula sheet or card to tests. Instructors must not provide the formulas during the test, including on the board or in a handout.\"},{\"question\":\"Which subjects and course levels does the formula sheet cover?\",\"answer\":\"It covers Math 1314 College Algebra, Math 1316 Trigonometry, and Math 2412 Precalculus, including related formula libraries and applications.\"},{\"question\":\"What types of formulas are included for Math 1314?\",\"answer\":\"Math 1314 includes formulas for distance, circles, slope and line equations, the quadratic formula, a library of functions, geometry formulas, and properties of logarithms.\"}]","LSC-CyFair Formula Sheet - Critical Course Formulas | PDF"]