Trigonometric Ratios And The Pythagorean Theorem
Gbogbo ọrọ náà
Right triangles hide a powerful pattern: fix one angle and the ratios of the sides are locked in, no matter how big the triangle is. Those ratios are sine, cosine and tangent, and with the Pythagorean theorem they let you find unknown sides and angles.
In this lesson you will use the three trigonometric ratios and the Pythagorean theorem to solve right triangles: finding a missing side or a missing angle from the information you are given.
Ebumnobi
- Use the sine, cosine and tangent ratios and the Pythagorean theorem to solve right-angled triangles in applied problems.
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
Ndetu Nkuzi Zuru Ezu di na Ngwa Green Bridge
Nweta ngwa Green Bridge CBT na ekwenti gi ma o bu kompiuta maka ulo akwukwo IGCSE zuru oke: akwukwo ule ndi gara aga, usoro nyocha, eserese uche, kaadi omumu na nkuzi olu.
Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Trigonometric Ratios And The Pythagorean Theorem. 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.
- In a right triangle with legs 3 and 4, the hypotenuse is: A. 5 B. 7 C. 12 D. 25 Answer: A
- Which ratio equals opposite over hypotenuse? A. cosine B. tangent C. sine D. none Answer: C
- tan θ is equal to: A. opposite/hypotenuse B. adjacent/hypotenuse C. opposite/adjacent D. hypotenuse/opposite Answer: C
- If the hypotenuse is 10 and the angle is 30°, the opposite side is (sin 30° = 0.5): A. 5 B. 8.66 C. 10 D. 20 Answer: A
- To find an angle from a known ratio you use: A. the Pythagorean theorem B. an inverse trig function C. the slope D. the midpoint Answer: B
Rue ajuju ndi a n'ime ngwa ahu
Rue ajuju ndi a n'ime ngwa ahu
Akwụkwọ A Na-atụ Aro
Mụtakwuo ihe site na isi mmalite mepere emepe
-
Akụkụ akwụkwọ
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
-
Akụkụ akwụkwọ
Use Properties of Angles, Triangles, and the Pythagorean Theorem
Use the properties of angles
"Prealgebra: Use Properties of Angles, Triangles, and the Pythagorean Theorem" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/prealgebra/pages/9-3-use-properties-of-angles-triangles-and-the-pythagorean-theorem. Access for free at https://openstax.org/books/prealgebra/pages/1-introduction
Ndị otu ndị ọzọ bipụtara ha n'okpuru ikike mepere emepe, anyị na-ekele ha dị ka ha si chọọ. Njikọ na-emepe saịtị ha.
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Trigonometric Ratios And The Pythagorean Theorem? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
Budata Ngwa Ahụ Na Google Playstore
Ihe nile ichoro iji nwee ihe ịga nke ọma na JAMB, WAEC & NECO.
