Umsebenzi we-Trigonometric: Umugqa we-engeli (isono)
Okuqukethwe

Incazelo

I-Sine ye-engeli e-acute α (ngaphandle α) isilinganiso somlenze ophambene (ai-hypotenuse (c) kunxantathu ongakwesokudla.

ngaphandle α = a / c

Umsebenzi we-Trigonometric: Umugqa we-engeli (isono)

Ngokwesibonelo:

a = 3

c = 5

ngaphandle α = a / c = 3/5 = 0.6

Isakhiwo Sine

Umsebenzi wesine ubhalwe ngokuthi y = ngaphandle (x). Igrafu ibizwa i-sinusoid futhi ngokujwayelekile kubonakala kanje:

Umsebenzi we-Trigonometric: Umugqa we-engeli (isono)

I-sinusoid umsebenzi wezikhathi ezithile onenkathi T = 2π.

Sine Properties

Ngezansi kufomu lethebula izici eziyinhloko ze-sine namafomula:

»i-oda ledatha=»Umsebenzi we-Trigonometric: Umugqa we-engeli (isono)«>Umsebenzi we-Trigonometric: Umugqa we-engeli (isono)Umsebenzi we-Trigonometric: Umugqa we-engeli (isono)

»i-oda ledatha=»Umsebenzi we-Trigonometric: Umugqa we-engeli (isono)«>Umsebenzi we-Trigonometric: Umugqa we-engeli (isono)Umsebenzi we-Trigonometric: Umugqa we-engeli (isono)

»i-oda ledatha=»Umsebenzi we-Trigonometric: Umugqa we-engeli (isono)«>Umsebenzi we-Trigonometric: Umugqa we-engeli (isono)Umsebenzi we-Trigonometric: Umugqa we-engeli (isono)

»i-oda ledatha=»Umsebenzi we-Trigonometric: Umugqa we-engeli (isono)«>Umsebenzi we-Trigonometric: Umugqa we-engeli (isono)Umsebenzi we-Trigonometric: Umugqa we-engeli (isono)

PropertyFormula
wesimethriwesimethriI-Pythagorean trigonometric identityI-Sine ye-engeli ephindwe kabiliI-Sine yesamba sama-engeliUmehluko we-engeliisamba se-sines
Umehluko wesine
Umsebenzi wesine
Umkhiqizo we-sine ne-cosine
Umthetho we-sineI-Sinus derivativeI-Sine ebalulekileIfomula ye-EulerОбратная к синусу функция

– это обратная функция к синусу x, isiqephu -1≤x≤1.

Если синус угла у kuyalingana х (Isono y = x), значит арксинус x ilingana ne у:

arcsine x = isono-1 x = y

Таблица синусов

-90°-p/2-1
-60°-p/3-45°-p/4-30°-p/6-1 / 2
0 °00
30 °Π/61/2
45 °Π/460 °Π/390 °Π/21
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