Exact Trigonometric Values
Akopọ
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.
Awọn Afojusun
- 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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Oriire fun ipari ẹkọ lori Exact Trigonometric Values. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.
- 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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Awọn Iwe Itọsọna Ti a Gba Nimọran
Ẹ̀kọ́ síwájú láti àwọn orísun ṣíṣí
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Abala ìwé ẹ̀kọ́
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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Abala ìwé ẹ̀kọ́
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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