Trigonometric Functions
Akopọ
Beyond right-angled triangles, the sine, cosine and tangent become functions you can graph for any angle. Their graphs are smooth, repeating waves, and recognising their shape lets you read off values and solve trigonometric equations.
In this lesson (Extended tier) you will recognise, sketch and interpret the graphs of y = sin x, y = cos x and y = tan x for 0 to 360 degrees, and solve trigonometric equations over that range.
Awọn Afojusun
- Recognise, sketch and interpret the following graphs for 0° ⩽ x ⩽ 360°: y = sin x, y = cos x, y = tan x.
- Solve trigonometric equations involving sin x, cos x or tan x, for 0° ⩽ x ⩽ 360°.
Ẹ̀kọ́ Ohùn
Gbọ́ ẹ̀kọ́ yìí nínú áàpù
Àwòrán ọpọlọ
A ti ṣe àwòrán kókó yìí kí o lè rí bí àwọn èrò ṣe so pọ̀.
Ṣí àwòrán ọpọlọ nínú áàpù
Káàdì ìrántí
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Ṣe ìdánrawò káàdì wọ̀nyí nínú áàpù
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Gba ohun èlò Green Bridge CBT sórí fóònù tàbí kọ̀mpútà rẹ fún gbogbo ilé ìkàwé IGCSE: ìwé ìdánwò àtijọ́, ìlànà ìdíwọ̀n, àwòrán èrò, káàdì ìkẹ́kọ̀ọ́ àti ẹ̀kọ́ ohùn.
Ìdánwò Ẹ̀kọ́
Oriire fun ipari ẹkọ lori Trigonometric Functions. 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 maximum value of y = sin x? A. 0 B. 1 C. 90 D. 360 Answer: B
- What is the value of cos 90°? A. 1 B. 0 C. -1 D. 0.5 Answer: B
- Over what interval does y = sin x repeat? A. 90° B. 180° C. 360° D. 720° Answer: C
- How many solutions does sin x = 0.5 have for 0° ⩽ x ⩽ 360°? A. 0 B. 1 C. 2 D. 4 Answer: C
- The second solution of sin x = 0.5 (besides 30°) in 0° to 360° is: A. 60° B. 150° C. 210° D. 330° Answer: B
Ṣiṣẹ́ lórí àwọn ìbéèrè wọ̀nyí nínú ohun èlò náà
Ṣiṣẹ́ lórí àwọn ìbéèrè wọ̀nyí nínú ohun èlò náà
Awọn Iwe Itọsọna Ti a Gba Nimọran
Ẹ̀kọ́ síwájú láti àwọn orísun ṣíṣí
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Abala ìwé ẹ̀kọ́
Graphs of the Sine and Cosine Functions
Graph variations of y = sin ( x ) y = sin ( x ) and y = cos ( x ) y = cos ( x ) .
"Algebra and Trigonometry: Graphs of the Sine and Cosine Functions" 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/8-1-graphs-of-the-sine-and-cosine-functions. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
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Abala ìwé ẹ̀kọ́
Solving Trigonometric Equations
Solve linear trigonometric equations in sine and cosine.
"Algebra and Trigonometry: Solving Trigonometric Equations" 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/9-5-solving-trigonometric-equations. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
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Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Trigonometric Functions? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.
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