??????

??????? ????

?????	??????? ... ???? ????? ????? [1] ? ???? ???? ????? ? dimensionless unit (en) [2] ? ???? ????? ???? ??? ? ???? ??????? ??? ???? ??????? ?????? [3] ? UCUM base unit (en)
?????? ?????	??????? ??????? [1] [4]
??? ??????	??????? ... rad (???????????) [5] [1] [6] рад (????????) rad (?????????) рад (??????????) rad (?????????) rad (???????????)
??? ???????	㎭

??????? ??????

??? ?????? ??????	1 ??????

????? - ????? ????? - ????? ???? ??????

??? ?? ????? ?????? ???
???????
??? ?????? ????? ??????? ????? ???? ????? ????? ????? ?????? ????? ??????? ????? ??????
??? ???????? ??????? ??????? ????????? . ??????? ???????? . ??????? ????????? . ??????? ????????? ?????? .
??????? ?? ???? ????? ?????? ????? ?????? ????? ??????? ??????? ????? ??????? ??????? ????? ??????? ????? ???????
???? ??????? ???? ??????
????? ????? ??????
? ? ?

??????? ??? ??????? ^[7] ?? ???????? ?? ??????? ??????? ?? ???? ???? ??????? ???????? ??? ?????? ??????? ???????? ??? ?????? ?????? ??????? ????????? ?? ????????? ????????? ????? ????? ??????? ???????? ???????? ??? ???? ??????? ????? ???? ????? ???? ????? ???? ??? ??????? . ????? ???????? ?????? ${\displaystyle {\tfrac {180}{\pi }}}$ ?????? ?? ???????? ${\displaystyle 57.29578^{\circ }}$.

??????? ???? ???????? ???? ?? ????? ? ???? ??????? ?? ????? ? ??? ????? ???. ??? ???? ????? ???? ?????? (?? rad) ?? ??????? ??? ???? ???? ???? ??? ??? ?? ??????? ?????????. ????? ???? ??????? ???? ?? ?????? ???? ???? ??? ?? ?????? ?? ?????????? ????? ???? ??????? ${\displaystyle ^{\circ }}$ ??????? ??? ??????.

??? ???? ?????? ??????? ???????? ??? ?????? ?????? ??????? ??????? ???????? ?????? ?? ?????????? ? ???? ???? ??? ????????? ????? ???????? ????? ???? ????? ??? ?????.

????? [ ??? ]

????? ???????? ?????? ??? ???? ??????? ????????? ?? ????? ???? ????? ????? ???? ????? ???? ??? ??? ???????.

????? ???? ???? ????? ?? ????? ??????? ?????? ???? ??? ?? ????????? ????? ?????? ??? ??? ????? ??????? ??????? ???? ??? ??? ???????? ?? ???:

${\displaystyle \theta ={\frac {l}{R}}}$

???? ???:

${\displaystyle \theta }$ ?? ??????? ??????????

${\displaystyle l}$ ?? ??? ??????

? ${\displaystyle R}$ ?? ??? ??? ??? ???????.

????????? ????????? ???? ??? ??? ?? ????? ??? ????? ${\displaystyle R}$ ????? ????? ?????? ??????? ${\displaystyle \theta }$: ${\displaystyle l=\theta \cdot R}$

?? ??? ??????? ???????? ????????? ??? ????? ???????? ??????. ???? ????? ?????? ????? ????? ${\displaystyle 360^{\circ }}$? ??? ????? ????? ????? ?? ???? ???????? ??? ???? ??????? ????????? ??: ${\displaystyle {\tfrac {2\pi R}{R}}=2\pi }$. ??? ???? ????? ??????? 360 ???? ????? ${\displaystyle 2\pi }$ ??????? ?????? ???????? ?????? ${\displaystyle {\tfrac {180}{\pi }}}$ ????.

????? [ ??? ]

???? ?? ??? ????? ???????? ??? ??????? ????????? ???? ???? ? ??? 1714. ?? ???? ?? ???? ??? ?????? ???? ?????? ? ??? ??? ???? ??? ??????? ??????? ????? ?????? ??????.

????? ??? ???????? ??????? [ ??? ]

??????? ?? ?????? ??? ????? ??? ?? ???? ???????? ??????? ${\displaystyle {\tfrac {180}{\pi }}}$. ???? ???? ??????:

${\displaystyle 1\ {\mbox{rad}}={\frac {180}{\pi }}\approx 57.29578^{\circ }}$

${\displaystyle {\frac {\pi }{3}}\ {\mbox{rad}}={\frac {\pi }{3}}\cdot {\frac {180}{\pi }}=60^{\circ }}$

?????????? ???????? ?? ????? ??? ??????? ??? ?? ???? ??????? ${\displaystyle {\tfrac {\pi }{180}}}$:

${\displaystyle 1^{\circ }={\frac {\pi }{180}}\approx 0.01745\ {\mbox{rad}}}$

${\displaystyle 90^{\circ }=90\cdot {\frac {\pi }{180}}={\frac {\pi }{2}}\ {\mbox{rad}}}$

???????? ???? ?? ????? ????? ??????? ????????? ??? ??? ????????? ?????? ?????? ??? ${\displaystyle 2\pi }$. ??????? ??? ${\displaystyle 6\pi \ {\mbox{rad}}}$ ????? ????? ????? ?????.

????? ????? ??????? ?????? ?????? ???????? ??????????

??? ???????	${\displaystyle 0}$	${\displaystyle {\tfrac {1}{12}}}$	${\displaystyle {\tfrac {1}{8}}}$	${\displaystyle {\tfrac {1}{6}}}$	${\displaystyle {\tfrac {1}{4}}}$	${\displaystyle {\tfrac {1}{2}}}$	${\displaystyle {\tfrac {3}{4}}}$	${\displaystyle 1}$
??????? ????????	${\displaystyle 0^{\circ }}$	${\displaystyle 30^{\circ }}$	${\displaystyle 45^{\circ }}$	${\displaystyle 60^{\circ }}$	${\displaystyle 90^{\circ }}$	${\displaystyle 180^{\circ }}$	${\displaystyle 270^{\circ }}$	${\displaystyle 360^{\circ }}$
??????? ?????????	${\displaystyle 0}$	${\displaystyle {\tfrac {\pi }{6}}}$	${\displaystyle {\tfrac {\pi }{4}}}$	${\displaystyle {\tfrac {\pi }{3}}}$	${\displaystyle {\tfrac {\pi }{2}}}$	${\displaystyle \pi }$	${\displaystyle {\tfrac {3\pi }{2}}}$	${\displaystyle 2\pi }$

??????? ?????? [ ??? ]

?????? ?? ?????? ???????? ????? ?????? ???????? ?? ?????? ?? ????????. ??? ???? ??????? ???????? ? ?????? ????? ??? ???????? ????? ??? ?????? ?? ???? ????????? ?????????? ???? ???? ??? ???? ???? ??? ≪?????≫ ???? ??????.

??? ??????? ????????? ????? ?? ?????? ???????? ?????? ???? ?????? ??????? ?? ????. ?????? ?????? ???????? ???????? ????? ????? ?????? ??????:

${\displaystyle \lim _{h\rightarrow 0}{\frac {\sin h}{h}}=1,}$

??? ????? ???????. ????? ???????? ????? ??? ?? ????????? ????????:

${\displaystyle {\frac {d}{dx}}\sin x=\cos x}$

${\displaystyle {\frac {d^{2}}{dx^{2}}}\sin x=-\sin x.}$

???? ??? ??? ?????? ??????? ?? ???? ?????? ???????? ???????? ????????? ?? ?????? ?? ?? ??? ???? ?????? ??????? ??????? ?????? ???? ??????. ??????? ???? ??? ?????? ????? ???????? ????????? ???????: ${\displaystyle {\frac {d^{2}y}{dx^{2}}}=-y}$.

????? ???? ????? ??????? ?? ???? ??? ???????? ????? ?? ????? ???? ??? ?????? ???????? ?????? ?????? ?????????:

${\displaystyle sin(x)=x-{\frac {x^{3}}{3!}}+{\frac {x^{5}}{5!}}-{\frac {x^{7}}{7!}}+\ldots }$

???? ?? ??? ???????? ????? ??? ??????? ??? ??? ?????? ??????? ?????? ?? ???? ???? ???????? ?? ??? ?????? ????? ????? ????????? ?????? ??? ????? ?? ??? ?? ??????? ???? ?? ???? ????? ??????. ??? ???? ?? ???? ???? ????? ??? ????? ????? ??? ${\displaystyle ^{3}}$.

????????? ?? ???????? [ ??? ]

??? ??????? ???? ???????? ?? ???????? ??? ???? ????? ???????. ???? ???? ??????? ???? ?????? ??????? ?? ???? ??????? ?????? ?????? ?? ??????? ( ${\displaystyle {\tfrac {rad}{sec}}}$). ???? ???? ?????? ?? ??????? ????? ${\displaystyle 2\pi \ {\mbox{rad}}}$ ?? ???????. ??? ????? ???????? ??????? ???? ??? ????? ???????? ?? ??????? ?? ??????? ( ${\displaystyle {\tfrac {rad}{sec^{2}}}}$).

???? ??? ????????? ?????? ???????? ?? ???????? ??? ??? ????? ???????? ?? ????????? - ???? ??????? ?????? ???? ?????? ?? ?????? ?? ???????.

???? ????? [ ??? ]

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