Mathematics - Additional - 0606 CIE

Amplitude, Period And Trigonometric Graphs

Gbogbo ọrọ náà

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 \(y = a \tan bx + c\).

Ebumnobi

  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.

Akọmọ Ojú-ẹkọ

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

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Amplitude, Period And Trigonometric Graphs. 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.

  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

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Meecha Ajụjụ Ule Ọmarịcha

Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Amplitude, Period And Trigonometric Graphs? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.

Dawunlodi Ẹpp naa lori Google Playstore.

Ihe nile ichoro iji nwee ihe ịga nke ọma na JAMB, WAEC & NECO.

Green Bridge CBT Mobile App
Personalized AI Ẹ̀kọ́ Ọ̀rọ̀ Alábàápàdé.
Egbò ọdúnrún IGCSE, JAMB, WAEC & NECO Ajùmọ̀ṣe ìbéèrè ti kọjá.
Ihe karịrị 1200 Nkọwa Nkuzi
Tallafi Ba Tare da Layin Intanet Ba - Koyi Duk Lokaci, Ko'ina
Jadawalin Gada Kore
Akọkọ akọle iwe & Ibeere agbara
Sọfụma Ọrụ Gi & Ọganihu Gi
Ìtọ́jú Ìtúmọ̀ fún Ẹ̀kọ́ Alábáyọrí.