Mathematics (US) - 0444 CIE

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

  1. Use the sine, cosine and tangent ratios and the Pythagorean theorem to solve right-angled triangles in applied problems.

Akọmọ Ojú-ẹkọ

Right-triangle trigonometry is one of the most applied topics in all of mathematics, used in surveying, navigation, construction and physics whenever a distance or an angle must be found indirectly.

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Ayẹwo Ẹkọ

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.

  1. In a right triangle with legs 3 and 4, the hypotenuse is: A. 5 B. 7 C. 12 D. 25 Answer: A
  2. Which ratio equals opposite over hypotenuse? A. cosine B. tangent C. sine D. none Answer: C
  3. tan θ is equal to: A. opposite/hypotenuse B. adjacent/hypotenuse C. opposite/adjacent D. hypotenuse/opposite Answer: C
  4. 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
  5. 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

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 Trigonometric Ratios And The Pythagorean Theorem? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.

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