Mathematics - Additional - 0606 CIE

Amplitude, Period And Trigonometric Graphs

Bayani Gaba-gaba

Stretching and shifting the basic sine, cosine and tangent graphs produces a whole family of curves. Two numbers control most of it: the amplitude (how tall the wave is) and the period (how often it repeats).

In this lesson you will understand and use the amplitude and period of a trigonometric function, and draw and use the graphs of \(y = a \sin bx + c\), \(y = a \cos bx + c\) and \(y = a \tan bx + c\).

Manufura

  1. Understand and use the amplitude and period of a trigonometric function, including the relationship between graphs of related trigonometric functions.
  2. Draw and use the graphs of y = a sin bx + c, y = a cos bx + c and y = a tan bx + c.

Takardar Darasi

Amplitude and period describe any oscillation, from sound waves to tides, and let you sketch transformed trig graphs quickly.

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Nazarin Darasi

Barka da kammala darasi akan Amplitude, Period And Trigonometric Graphs. Yanzu da kuka bincika mahimman raayoyi da raayoyi, 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.

  1. For y = 3 sin 2x, the amplitude is: A. 2 B. 3 C. 6 D. 180 Answer: B
  2. For y = 3 sin 2x, the period is: A. 90° B. 180° C. 360° D. 720° Answer: B
  3. In y = a sin bx + c, the period is: A. a B. 360/b C. b/360 D. c Answer: B
  4. In y = a sin bx + c, the constant c: A. changes amplitude B. changes period C. shifts the graph vertically D. has no effect Answer: C
  5. The amplitude of y = 5 cos x is: A. 1 B. 5 C. 10 D. 360 Answer: B

Akwai a cikin manhajar Green Bridge

Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
Mataimakiyar koyo da AI
Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

Akwai a cikin manhajar Green Bridge

Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
Mataimakiyar koyo da AI
Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

Yi Aikin Tambayoyin Gwaji

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