Trig Tour

Ev şêwekar hêj ji bo vî zimanê nehatiye wergerandin. Dîsa jî hun dikarin guhertoya bi Îngilîzî ya li jêr bixebitînin.

Trig Tour Wêneya Dîmenê  Daxîne  Çalkirin
  • Trigonometry
  • Unit circle
  • Sines

Naverok

  • Trigonometry
  • Unit circle
  • Sines
  • Cosines
  • Tangents

Description

Take a tour of trigonometry using degrees or radians! Look for patterns in the values and on the graph when you change the value of theta. Compare the graphs of sine, cosine, and tangent.

Mînakên Armancên Fêrbûnê

  • Define trig functions for negative angles and angles greater than 90 degrees.
  • Translate between multiple representations of trig functions: as sides of a right triangle inscribed in a unit circle, graph of the function vs. angle, and numerical values of the function.
  • Deduce the sign (+, -, 0) of a trig function for any given angle without a calculator using the unit circle concept.
  • Estimate the value of trig functions for any given angle without a calculator using the unit circle concept.
  • Define exact trig functions for special angles using degrees or radians for angle measures.

Standards Alignment

Common Core - Math

HSF-TF.A.2
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
HSF-TF.A.3
(+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for x, π + x, and 2π - x in terms of their values for x, where x is any real number.
HSF-TF.A.4
(+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
Version 1.0.20

Teacher Tips

Di rêbera mamosteyan (pdf) de rêwazên aliyê koma PhET ve hatine afirandin hene. ( PDF ).

Teacher-Submitted Activities

Trig Tour - Connecting the Unit Circle to the Graph A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Susan Miller HS Guided Bîrkarî
Trig Tour - Seeing Patterns in a Unit Circle A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Susan Miller HS Guided Bîrkarî
Trig Tour - Using Reference Angles with a Unit Circle A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Susan Miller HS Guided Bîrkarî
Preguntas de razonamiento para todas las simulaciones HTML5 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Diana López UG-Intro
UG-Adv
HS
K-5
MS
Grad
ST
Discuss
Bîrkarî
Fîzîk
Kîmya
Fezazanî
Mapping of PhET and IBDP Physics Jaya Ramchandani HS Yên din Fîzîk

Ziman Download or Run Tips
Baskî All Basque Download Run now Trig bira
Belarusî All беларускі Download Run now Трыганаметрычныя функцыі
Bosnî All Bosanski Download Run now Trigonometrijske funkcije
Chinese (China) All 中文 (中国) Download Run now 三角函数之旅
Chinese (Taiwan) All 中文 (台灣) Download Run now Trig Tour_三角函數之旅
Danî All Dansk Download Run now Enhedscirklen
Dutch All Nederlands Download Run now Trigonometrie toer
Erebî All العربية Download Run now جولة في حساب المثلثات
Finnish All suomi Download Run now Trigonometria
Frensî All français Download Run now Tour de trigo
Germenî All Deutsch Download Run now Trigonometrie Tour
Grekî All Ελληνικά Download Run now Περιήγηση στην Τριγωνομετρία
Hebrew All עברית Download Run now סיור טריגו
Hindî All हिंदी Download Run now त्रिकोणमिति यात्रा 
Irish All Gaeilge Download Run now Turas Triantánaithe
Îspanî All español Download Run now Tour trigonométrico
Îspanî (Îspanya) All español (España) Download Run now Tour trigonométrico
Îspanî (Meksîko) All español (México) Download Run now Tour trigonométrico
Îspanî (Peru) All español (Perú) Download Run now Recorrido Trigonométrico
Italî All italiano Download Run now Il giro della trigonometria
Japanese All 日本語 Download Run now 三角関数
Kannada All Kannada Download Run now ಟ್ರಿಗ್ ಪ್ರವಾಸ
Kazakh All Kazakh Download Run now Тригонометриялық саяхат
Korean All 한국어 Download Run now 삼각함수 여행
Latvian All Latviešu Download Run now Ieskats trigonometrijā
Macarkî All magyar Download Run now Szögfüggvények
Maori All Maori Download Run now Tawhio Pākoki
Marathi All मराठी Download Run now त्रिकोणमितीची सफ़र
Mongolian All Монгол (Монгол) Download Run now Тригно Аян
Norwegian Bokmål All Norsk bokmål Download Run now TrigonometriTur
Polish All polski Download Run now Funkcje trygonometryczne
Portuguese (Brazil) All português (Brasil) Download Run now Tour Trigonométrico
Russian All русский Download Run now Тригонометрическое путешествие
Serbian All Српски Download Run now Тригонометријска кружница
Sinhalese All Sinhalese Download Run now ත්‍රිකෝණමිතික චාරිකාව (Trig Tour)
Slovak All Slovenčina Download Run now Trigonometria
Swedish All svenska Download Run now Trig Tour
Tamil All Tamil Download Run now Trig Tour
Vietnamese All Tiếng Việt Download Run now Vòng tròn lượng giác

The new HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

iPad:
iOS 11+ Safari
iPad compatible sims

Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:
Microsoft Edge and Internet Explorer 11, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

Koma Pêşnûmakeriyê Danegehên Kesê-sêyemîn Spas Ji Bo
  • Amanda McGarry (lead)
  • Michael Dubson (lead, developer)
  • Jesse Greenberg (developer)
  • Ariel Paul
  • Kathy Perkins
  • almond-0.2.9.js
  • FileSaver-b8054a2.js
  • fontawesome-webfont-3.0.2.svg
  • jama-1.0.2
  • jquery-2.1.0.js
  • lodash-2.4.1.js
  • pegjs-0.7.0.js
  • seedrandom-2.4.2.js
  • text-2.0.12.js