Mathematics (US) - 0444 CIE

Trigonometric Ratios And The Pythagorean Theorem

Akopọ

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.

Awọn Afojusun

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

Akọ̀wé Ẹ̀kọ́

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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Oriire fun ipari ẹkọ lori Trigonometric Ratios And The Pythagorean Theorem. 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.

  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

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
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Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
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O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

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