Mathematics (US) - 0444 CIE

Sine And Cosine For Angles 0 To 360 Degrees

Gbogbo ọrọ náà

Sine and cosine are not limited to the angles inside a right triangle. By spinning a point around a circle you can define them for every angle from 0 to 360 degrees, and their graphs reveal a smooth, repeating wave.

In this lesson you will find the sine and cosine of angles from 0 to 360 degrees, recognize their wave-shaped graphs, and use symmetry to relate angles in different quadrants.

Ebumnobi

  1. Use the sine and cosine of angles between 0 and 360 degrees, including the relationship between the sine and cosine of supplementary angles.

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

Extending sine and cosine beyond the right triangle is the gateway to modeling anything that repeats, from tides to sound, and to solving trigonometric equations across a full turn.

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Nnyocha Ọmụmụ

Ekele diri gi maka imecha ihe karịrị na Sine And Cosine For Angles 0 To 360 Degrees. 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. The period of y = sin x is: A. 90° B. 180° C. 360° D. 720° Answer: C
  2. The maximum value of cos x is: A. 0 B. 1 C. -1 D. 90 Answer: B
  3. What is the value of sin 90°? A. 0 B. 0.5 C. 1 D. -1 Answer: C
  4. In which range is sin θ negative? A. 0° to 90° B. 90° to 180° C. 180° to 360° D. 0° to 180° Answer: C
  5. The value of cos 180° is: A. 1 B. 0 C. -1 D. 0.5 Answer: C

Rue ajuju ndi a n'ime ngwa ahu

Rue ajuju ndi a n'ime ngwa ahu

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