# Trig Tour

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بۆ به‌ڕێوه‌ بردن کلیک بکه‌
Use this HTML code to display a screenshot with the words "Click to Run". Trigonometry Unit circle سینوسه‌کان PhET پشتیوانی ئه بێ له لایه ن و فێرکارانێ وه ک ئێوه.

• Trigonometry
• Unit circle
• سینوسه‌کان
• کۆسینوس
• 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.

### Sample Learning Goals

• 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 1.0.23

### Teacher Tips

 Overview of sim controls, model simplifications, and insights into student thinking ( PDF ).

### Teacher-Submitted Activities

Trig Tour - Connecting the Unit Circle to the Graph Susan Miller HS Guided بیرکاری
Trig Tour - Seeing Patterns in a Unit Circle Susan Miller HS Guided بیرکاری
Trig Tour - Using Reference Angles with a Unit Circle Susan Miller HS Guided بیرکاری
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López MS
HS
دیکه‌ بیرکاری
ژیناسی
کیمیا
فیزیا
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López UG-Intro
HS
دیکه‌ فیزیا
کیمیا
بیرکاری
Preguntas de razonamiento para todas las simulaciones HTML5 Diana López MS
UG-Intro
HS
K-5
Discuss
HW
فیزیا
ئه‌ستێره‌ناسی
بیرکاری
کیمیا
Mapping of PhET and IBDP Physics Jaya Ramchandani HS دیکه‌ فیزیا
Aplikasi Trigonometri SMA Ayu Tamyah HS Guided بیرکاری
Trigonometria: Ciclo e identidades (operações com arcos) Rosalide Carvalho de Sousa e Francisco Régis Vieira Alves HS دیکه‌ بیرکاری
Tour Trigonométrico Miguel Verástegui HS تاقیگه‌
Remote
HW
بیرکاری
Razones Trigonometricas walter Manuel Trujillo Yaipen دیکه‌
تاقیگه‌
دیکه‌
بیرکاری
Figuras y cuerpos geométricos. Andrés Gualberto Palomo Cuevas HS Remote
HW
بیرکاری
Albanian All shqip Udhëtim trigonometrik
Arabic All العربية جولة في حساب المثلثات
Basque All Euskara Trig bira
Belarusian All беларускі Трыганаметрычныя функцыі
Bosnian All Bosanski Trigonometrijske funkcije
Brazilian Portuguese All português (Brasil) Tour Trigonométrico
Chinese - Simplified All 中文 (中国) 三角函数之旅
Chinese - Traditional All 中文 (台灣) Trig Tour_三角函數之旅
Croatian All hrvatski Trig Tour
Danish All Dansk Enhedscirklen
Dutch All Nederlands Trigonometrie toer
Finnish All suomi Trigonometria
French All français Tour de trigo
German All Deutsch Trigonometrie Tour
Greek All Ελληνικά Περιήγηση στην Τριγωνομετρία
Haitian All Haitian Trig Tou
Hebrew All עברית סיור טריגו
Hindi All हिंदी त्रिकोणमिति यात्रा
Hungarian All magyar Szögfüggvények
Irish All Gaeilge Turas Triantánaithe
Italian All italiano Il giro della trigonometria
Japanese All 日本語 三角関数
Kazakh All Kazakh Тригонометриялық саяхат
Korean All 한국어 삼각함수 여행
Lao All Lao ໄຕມູມມິຕິ
Lithuanian All Lietuvių Vienetinis apskritimas ir funkcijų grafikai
Maori All Maori Tawhio Pākoki
Marathi All मराठी त्रिकोणमितीची सफ़र
Mongolian All Монгол (Монгол) Тригно Аян
Norwegian Bokmal All Norsk bokmål TrigonometriTur
Polish All polski Funkcje trygonometryczne
Romanian All română Cercul trigonometric
Russian All русский Тригонометрические функции (единичная окружность, получение графиков функций)
Serbian All Српски Тригонометријска кружница
Sinhalese All Sinhalese ත්‍රිකෝණමිතික චාරිකාව (Trig Tour)
Slovak All Slovenčina Trigonometria
Spanish All español Tour trigonométrico
Spanish (Mexico) All español (México) Tour trigonométrico
Spanish (Peru) All español (Perú) Recorrido Trigonométrico
Spanish (Spain) All español (España) Tour trigonométrico
Swedish All svenska Trig Tour
Tamil All Tamil Trig Tour
Telugu All Telugu త్రికోణమితి విహార యాత్ర ; అనువాదం: ఉడిత్యాల రమణ
Turkish All Türkçe Trigonometri Turu
Ukrainian All українська Тригонометричний тур
Uzbek All Uzbek Trigonmetriyaga sayohat
Vietnamese All Tiếng Việt Vòng tròn lượng giác
فارسی All فارسی دایره واحد

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