Trigonometrijske funkcije

Trigonometrijske funkcije Screenshot  Preuzimanje (Download)  Ugradnja (Embed)
  • Trigonometry
  • Unit circle
  • Sinus

Sadržaj

  • Trigonometry
  • Unit circle
  • Sinus
  • Kosinus
  • 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.

Primjeri obrazovnih ciljeva

  • 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 1.0.22

Teacher Tips

Vodič za nastavnike (pdf) sadrži savjete kreirane оd strane PhET tima. ( 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. Ovu Aktivnost dizаjnirаo je PhET. Susan Miller HS (VŠ) Guided Matematika
Trig Tour - Seeing Patterns in a Unit Circle A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Ovu Aktivnost dizаjnirаo je PhET. Susan Miller HS (VŠ) Guided Matematika
Trig Tour - Using Reference Angles with a Unit Circle A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Ovu Aktivnost dizаjnirаo je PhET. Susan Miller HS (VŠ) Guided Matematika
Preguntas de razonamiento para todas las simulaciones HTML5 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Ovu Aktivnost dizаjnirаo je PhET. Diana López UG-Adv (VSŠ2)
K-5 (OŠ)
Grad (Master)
MS (SŠ)
HS (VŠ)
UG-Intro (VSŠ)
DZ
Discuss
Hemija
Matematika
Astronomija
Fizika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Ovu Aktivnost dizаjnirаo je PhET. Diana López HS (VŠ)
MS (SŠ)
Ostalo Hemija
Biologija
Fizika
Matematika
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Ovu Aktivnost dizаjnirаo je PhET. Diana López UG-Intro (VSŠ)
HS (VŠ)
Ostalo Matematika
Hemija
Fizika
Mapping of PhET and IBDP Physics Jaya Ramchandani HS (VŠ) Ostalo Fizika
Trigonometria: Ciclo e identidades (operações com arcos) Rosalide Carvalho de Sousa e Francisco Régis Vieira Alves HS (VŠ) Ostalo Matematika
Figuras y cuerpos geométricos. Andrés Gualberto Palomo Cuevas HS (VŠ) Remote
DZ
Matematika

Jezik Download or Run Tips
Albanski All shqip Download Run now Udhëtim trigonometrik
Arapski All العربية Download Run now جولة في حساب المثلثات
Baskijski All Euskara Download Run now Trig bira
Bjeloruski All беларускі Download Run now Трыганаметрычныя функцыі
Brazilski Portugalski All português (Brasil) Download Run now Tour Trigonométrico
Danski All Dansk Download Run now Enhedscirklen
Engleski All English Download Run now Trig Tour
Finski All suomi Download Run now Trigonometria
Francuski All français Download Run now Tour de trigo
Grčki All Ελληνικά Download Run now Περιήγηση στην Τριγωνομετρία
Hebrejski All עברית Download Run now סיור טריגו
Hindu All हिंदी Download Run now त्रिकोणमिति यात्रा 
Holandski All Nederlands Download Run now Trigonometrie toer
Hrvatski All hrvatski Download Run now Trig Tour
Irski All Gaeilge Download Run now Turas Triantánaithe
Italijanski All italiano Download Run now Il giro della trigonometria
Japanski All 日本語 Download Run now 三角関数
Kanadski All Kannada Download Run now ಟ್ರಿಗ್ ಪ್ರವಾಸ
Kazaški All Kazakh Download Run now Тригонометриялық саяхат
Kineski - Tradicionalni All 中文 (台灣) Download Run now Trig Tour_三角函數之旅
Kineski - Uprošćen All 中文 (中国) Download Run now 三角函数之旅
Korejski All 한국어 Download Run now 삼각함수 여행
Letonski All Latviešu Download Run now Ieskats trigonometrijā
Maorski All Maori Download Run now Tawhio Pākoki
Marati All मराठी Download Run now त्रिकोणमितीची सफ़र
Mađarski All magyar Download Run now Szögfüggvények
Mongolski All Монгол (Монгол) Download Run now Тригно Аян
Njemački All Deutsch Download Run now Trigonometrie Tour
Norveški Bokmal All Norsk bokmål Download Run now TrigonometriTur
Persijski All فارسی Download Run now دایره واحد
Poljski All polski Download Run now Funkcje trygonometryczne
Ruski All русский Download Run now Тригонометрические функции (единичная окружность, получение графиков функций)
Sinhaležanski All Sinhalese Download Run now ත්‍රිකෝණමිතික චාරිකාව (Trig Tour)
Slovački All Slovenčina Download Run now Trigonometria
Španski All español Download Run now Tour trigonométrico
Španski (Meksiko) All español (México) Download Run now Tour trigonométrico
Španski (Peru) All español (Perú) Download Run now Recorrido Trigonométrico
Španski (Španija) All español (España) Download Run now Tour trigonométrico
Srpski All Српски Download Run now Тригонометријска кружница
Švedski All svenska Download Run now Trig Tour
Tamilski All Tamil Download Run now Trig Tour
Turski All Türkçe Download Run now Trigonometri Turu
Ukrajinski All українська Download Run now Тригонометричний тур
Vijetnamski All Tiếng Việt Download Run now Vòng tròn lượng giác

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

iPad:
iOS 12+ 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
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Chromebook compatible sims

Windows Systems:
Microsoft Edge, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.12+, Safari 12+, latest version of Chrome.

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

Dizajn tim Nezavisne baze i biblioteke Hvala:
  • 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