Exact Trigonometric Values
Gbogbo ọrọ náà
For a few special angles, the sine, cosine and tangent have exact values you can write down without a calculator. Knowing them lets you give exact (surd) answers and check calculator work, and they come straight from two special triangles.
In this lesson (Extended tier) you will learn the exact values of sin and cos for 0, 30, 45, 60 and 90 degrees, and tan for 0, 30, 45 and 60 degrees.
Ebumnobi
- Know the exact values of: 1 sin x and cos x for x = 0°, 30°, 45°, 60° and 90°. 2 tan x for x = 0°, 30°, 45° and 60°.
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Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Exact Trigonometric Values. 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.
- What is the exact value of sin 30°? A. 1/2 B. √3/2 C. √2/2 D. 1 Answer: A
- What is the exact value of cos 60°? A. √3/2 B. 1/2 C. 1 D. 0 Answer: B
- What is the exact value of tan 45°? A. 0 B. 1 C. √3 D. undefined Answer: B
- What is sin 45° equal to? A. 1/2 B. √2/2 C. √3/2 D. 1 Answer: B
- What is tan 90°? A. 0 B. 1 C. √3 D. undefined Answer: D
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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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Unit Circle
Find function values for the sine and cosine of 30° or ( π 6 ) , 45° or ( π 4 ) , 30° or ( π 6 ) , 45° or ( π 4 ) , and 60 ∘ or ( π 3 ) . 60 ∘ or ( π 3 ) .
"Algebra and Trigonometry: Unit Circle" 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/7-3-unit-circle. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
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Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Exact Trigonometric Values? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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