Trigonometric Functions
Bayani Gaba-gaba
Beyond right-angled triangles, the sine, cosine and tangent become functions you can graph for any angle. Their graphs are smooth, repeating waves, and recognising their shape lets you read off values and solve trigonometric equations.
In this lesson (Extended tier) you will recognise, sketch and interpret the graphs of y = sin x, y = cos x and y = tan x for 0 to 360 degrees, and solve trigonometric equations over that range.
Manufura
- Recognise, sketch and interpret the following graphs for 0° ⩽ x ⩽ 360°: y = sin x, y = cos x, y = tan x.
- Solve trigonometric equations involving sin x, cos x or tan x, for 0° ⩽ x ⩽ 360°.
Darasin Sauti
Saurari wannan darasi a cikin manhaja
Taswirar tunani
An zana wannan batu don ka ga yadda ra'ayoyi ke hadewa.
Bude taswirar tunani a cikin manhaja
Katunan tunawa
Gwaji mai sauri kan abin da ake jarraba a wannan batu.
Yi atisayen wadannan katuna a cikin manhaja
Takardar Darasi
Cikakken Bayanin Darasi Yana Kan Manhajar Green Bridge
Sami manhajar Green Bridge CBT a wayarka ko kwamfutarka domin cikakken laburaren IGCSE: takardun jarrabawar baya, tsarin kimantawa, taswirar tunani, katunan karatu da darussan sauti.
Nazarin Darasi
Barka da kammala darasi akan Trigonometric Functions. Yanzu da kuka bincika mahimman ra'ayoyi da ra'ayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.
Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.
Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.
- What is the maximum value of y = sin x? A. 0 B. 1 C. 90 D. 360 Answer: B
- What is the value of cos 90°? A. 1 B. 0 C. -1 D. 0.5 Answer: B
- Over what interval does y = sin x repeat? A. 90° B. 180° C. 360° D. 720° Answer: C
- How many solutions does sin x = 0.5 have for 0° ⩽ x ⩽ 360°? A. 0 B. 1 C. 2 D. 4 Answer: C
- The second solution of sin x = 0.5 (besides 30°) in 0° to 360° is: A. 60° B. 150° C. 210° D. 330° Answer: B
Yi aikin wadannan tambayoyi a cikin manhaja
Yi aikin wadannan tambayoyi a cikin manhaja
Littattafan da ake ba da shawarar karantawa
Ƙarin koyo daga tushe na buɗe
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Sashen littafi
Graphs of the Sine and Cosine Functions
Graph variations of y = sin ( x ) y = sin ( x ) and y = cos ( x ) y = cos ( x ) .
"Algebra and Trigonometry: Graphs of the Sine and Cosine Functions" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/8-1-graphs-of-the-sine-and-cosine-functions. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
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Sashen littafi
Solving Trigonometric Equations
Solve linear trigonometric equations in sine and cosine.
"Algebra and Trigonometry: Solving Trigonometric Equations" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/9-5-solving-trigonometric-equations. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
Wasu ƙungiyoyi ne suka wallafa su ƙarƙashin lasisin buɗe, kuma muna ambaton su yadda suka nema. Hanyoyin suna buɗe shafukansu.
Yi Aikin Tambayoyin Gwaji
Kana son yin aikin tambayoyin gwaji kan Trigonometric Functions? Sauke manhajar Green Bridge CBT don samun tambayoyin gwaji da cikakkun jarrabawa akan wannan batu.
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Duk abin da kake buƙata don yin fice a JAMB, WAEC & NECO.
