Right-angled Triangles
Bayani Gaba-gaba
Trigonometry connects the angles of a right-angled triangle to the lengths of its sides, and that link is one of the most powerful tools in mathematics. With it you can find a height you cannot climb, a distance you cannot pace out, or an angle you cannot reach a protractor to.
In this lesson you will use the sine, cosine and tangent ratios to find sides and angles in right-angled triangles, and solve two-dimensional problems with these ratios and Pythagoras' theorem. (At Extended you will also handle angles of elevation and depression.)
Manufura
- Know and use the sine, cosine and tangent ratios for acute angles in calculations involving sides and angles of a right-angled triangle.
- Solve problems in two dimensions using Pythagoras’ theorem and trigonometry.
- Know that the perpendicular distance from a point to a line is the shortest distance to the line. (Extended only)
- Carry out calculations involving angles of elevation and depression. (Extended only)
Darasin Sauti
Saurari wannan darasi a cikin manhaja
Taswirar tunani
An zana wannan batu don ka ga yadda ra'ayoyi ke hadewa.
Bude taswirar tunani a cikin manhaja
Katunan tunawa
Gwaji mai sauri kan abin da ake jarraba a wannan batu.
Yi atisayen wadannan katuna a cikin manhaja
Takardar Darasi
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Nazarin Darasi
Barka da kammala darasi akan Right-angled Triangles. Yanzu da kuka bincika mahimman ra'ayoyi da ra'ayoyi, 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.
- Which ratio is sin θ? A. opp/adj B. adj/hyp C. opp/hyp D. hyp/opp Answer: C
- A right-angled triangle has hypotenuse 10 cm and an angle of 30°. The opposite side is: A. 5 cm B. 8.66 cm C. 10 cm D. 20 cm Answer: A
- If tan θ = 3/4, then θ is: A. 30.0° B. 36.9° C. 45.0° D. 53.1° Answer: B
- Which side is the hypotenuse? A. opposite the angle θ B. opposite the right angle C. next to θ D. the shortest side Answer: B
- To find an unknown angle from two known sides you use: A. the ratio directly B. Pythagoras C. the inverse trig function D. the area formula Answer: C
Yi aikin wadannan tambayoyi a cikin manhaja
Yi aikin wadannan tambayoyi a cikin manhaja
Littattafan da ake ba da shawarar karantawa
Ƙarin koyo daga tushe na buɗe
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Sashen littafi
Right Triangle Trigonometry
Use right triangles to evaluate trigonometric functions.
"Algebra and Trigonometry: Right Triangle Trigonometry" 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/7-2-right-triangle-trigonometry. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
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Yi Aikin Tambayoyin Gwaji
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