# Trigonometrijske funkcije

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Klikni i započni
Koristi ovaj HTML kod da bi se pojavio ekran sa natpisom "Klikni i započni" ("Click to Run"). Trigonometry Unit circle Sinus PhET je podržаn od: i nаstаvnikа kаo što ste Vi!

• 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 1.0.23

### 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 Susan Miller HS (VŠ) Guided Matematika
Trig Tour - Seeing Patterns in a Unit Circle Susan Miller HS (VŠ) Guided Matematika
Trig Tour - Using Reference Angles with a Unit Circle Susan Miller HS (VŠ) Guided Matematika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López MS (SŠ)
HS (VŠ)
Ostalo Hemija
Matematika
Biologija
Fizika
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López HS (VŠ)
UG-Intro (VSŠ)
Ostalo Hemija
Fizika
Matematika
Preguntas de razonamiento para todas las simulaciones HTML5 Diana López K-5 (OŠ)
UG-Intro (VSŠ)
MS (SŠ)
HS (VŠ)
Discuss
DZ
Fizika
Astronomija
Matematika
Hemija
Mapping of PhET and IBDP Physics Jaya Ramchandani HS (VŠ) Ostalo Fizika
Aplikasi Trigonometri SMA Ayu Tamyah HS (VŠ) Guided Matematika
Trigonometria: Ciclo e identidades (operações com arcos) Rosalide Carvalho de Sousa e Francisco Régis Vieira Alves HS (VŠ) Ostalo Matematika
Tour Trigonométrico Miguel Verástegui HS (VŠ) Remote
Lab
DZ
Matematika
Razones Trigonometricas walter Manuel Trujillo Yaipen Grad (Master)
Ostalo
Lab
Ostalo
Matematika
Figuras y cuerpos geométricos. Andrés Gualberto Palomo Cuevas HS (VŠ) Remote
DZ
Matematika
Albanski All shqip Udhëtim trigonometrik
Arapski All العربية جولة في حساب المثلثات
Bjeloruski All беларускі Трыганаметрычныя функцыі
Brazilski Portugalski All português (Brasil) Tour Trigonométrico
Danski All Dansk Enhedscirklen
Engleski All English Trig Tour
Finski All suomi Trigonometria
Francuski All français Tour de trigo
Grčki All Ελληνικά Περιήγηση στην Τριγωνομετρία
Haićanski All Haitian Trig Tou
Hebrejski All עברית סיור טריגו
Hindu All हिंदी त्रिकोणमिति यात्रा
Holandski All Nederlands Trigonometrie toer
Hrvatski All hrvatski Trig Tour
Irski All Gaeilge Turas Triantánaithe
Italijanski All italiano Il giro della trigonometria
Japanski All 日本語 三角関数
Kazaški All Kazakh Тригонометриялық саяхат
Kineski - Tradicionalni All 中文 (台灣) Trig Tour_三角函數之旅
Kineski - Uprošćen All 中文 (中国) 三角函数之旅
Korejski All 한국어 삼각함수 여행
Lao All Lao ໄຕມູມມິຕິ
Litvanski All Lietuvių Vienetinis apskritimas ir funkcijų grafikai
Maorski All Maori Tawhio Pākoki
Marati All मराठी त्रिकोणमितीची सफ़र
Mađarski All magyar Szögfüggvények
Mongolski All Монгол (Монгол) Тригно Аян
Njemački All Deutsch Trigonometrie Tour
Norveški Bokmal All Norsk bokmål TrigonometriTur
Persijski All فارسی دایره واحد
Poljski All polski Funkcje trygonometryczne
Rumunski All română Cercul trigonometric
Ruski All русский Тригонометрические функции (единичная окружность, получение графиков функций)
Sinhaležanski All Sinhalese ත්‍රිකෝණමිතික චාරිකාව (Trig Tour)
Slovački All Slovenčina Trigonometria
Španski All español Tour trigonométrico
Španski (Meksiko) All español (México) Tour trigonométrico
Španski (Peru) All español (Perú) Recorrido Trigonométrico
Španski (Španija) All español (España) Tour trigonométrico
Srpski All Српски Тригонометријска кружница
Švedski All svenska Trig Tour
Tamilski All Tamil Trig Tour
Telugu All Telugu త్రికోణమితి విహార యాత్ర ; అనువాదం: ఉడిత్యాల రమణ
Turski All Türkçe Trigonometri Turu
Ukrajinski All українська Тригонометричний тур
Uzbečki All Uzbek Trigonmetriyaga sayohat
Vijetnamski All Tiếng Việt Vòng tròn lượng giác

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