Trigonometric Functions
Gbogbo ọrọ náà
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.
Ebumnobi
- 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°.
Nkuzi Olu
Gee ntị na nkuzi a na ngwa
Maapụ uche
E seela isiokwu a ka ị hụ otu echiche si ejikọta.
Mepee maapụ uche na ngwa
Kaadị ncheta
Omume ncheta ngwa ngwa n'ihe a na-anwale n'isiokwu a.
Mee omume kaadị ndị a na ngwa
Akwụkwọ Ọmụmụ
Ndetu Nkuzi Zuru Ezu di na Ngwa Green Bridge
Nweta ngwa Green Bridge CBT na ekwenti gi ma o bu kompiuta maka ulo akwukwo IGCSE zuru oke: akwukwo ule ndi gara aga, usoro nyocha, eserese uche, kaadi omumu na nkuzi olu.
Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Trigonometric Functions. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.
Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.
Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.
- 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
Rue ajuju ndi a n'ime ngwa ahu
Rue ajuju ndi a n'ime ngwa ahu
Akwụkwọ A Na-atụ Aro
Mụtakwuo ihe site na isi mmalite mepere emepe
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Akụkụ akwụkwọ
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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Akụkụ akwụkwọ
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
Ndị otu ndị ọzọ bipụtara ha n'okpuru ikike mepere emepe, anyị na-ekele ha dị ka ha si chọọ. Njikọ na-emepe saịtị ha.
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Trigonometric Functions? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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