Mathematics (9-1) - 0980 CIE

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

  1. Recognise, sketch and interpret the following graphs for 0° ⩽ x ⩽ 360°: y = sin x, y = cos x, y = tan x.
  2. Solve trigonometric equations involving sin x, cos x or tan x, for 0° ⩽ x ⩽ 360°.

Takardar Darasi

The trig graphs describe anything that repeats: tides, sound, alternating current. Knowing their shape is also the key to solving trig equations, which can have more than one answer.

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Nazarin Darasi

Barka da kammala darasi akan Trigonometric Functions. 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. What is the maximum value of y = sin x? A. 0 B. 1 C. 90 D. 360 Answer: B
  2. What is the value of cos 90°? A. 1 B. 0 C. -1 D. 0.5 Answer: B
  3. Over what interval does y = sin x repeat? A. 90° B. 180° C. 360° D. 720° Answer: C
  4. How many solutions does sin x = 0.5 have for 0° ⩽ x ⩽ 360°? A. 0 B. 1 C. 2 D. 4 Answer: C
  5. 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

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

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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