3.%20??????%20?????????:%20cos%20t%20=%20-1/2

1
??????? ?????????, ???????????, ??????????? ?
?????????????.
????????? ??????? ?????? ????????? ??? ??????62
?.??? ???????? ???? ?????????
2
???????? ? ????
1. ?????? ????????? ?2 4
2. ?????? ????????? ?2 7
? ?2.
3. ?????? ????????? cos t -1/2
t ?2p/3 2pk, k??
4. ?????? ????????? cos t 1/4
t
?
3
cos t 1/4
t1
M
t t1 2pk, k??
t t2 2pk, k??
A
??? t1 ????? ???? ??, ? t2-t1
t2
arcus - ????
arccos ¼ - ?????????? 1/4
?rccos?
????
cos ??????? ????? a
?????? ?????????? ??? ?????????? ?????.
4
???????????
????? ?? ??????? ?-p/2 p/2?, ????? ????????
????? ?, ?????????? ?????????? ????? ?
a??-1 1?
t
arcsin0,6
arcsin1/2
t
p/6
?
t1 p/6, t2 5p/6
p/6 ?-p/2 p/2?
?
sin t 1/2?
?
5p/6 ?-p/2 p/2?
?
5
???????????
????? ?? ??????? ?0 p?, ??????? ???????? ?????
?, ?????????? ???????????? ????? ?
a??-1 1?
arccos(-1/3)
t
arccos1/2
p/3
t
6
???????????
????? ?? ????????? (-p/2 p/2), ??????? ????????
????? ?, ?????????? ???????????? ????? ?
a?(-? ?)
arctg1/7
t
arctg1
t
p/4
7
???????????
????? ?? ?????????(0 p), ????????? ????????
????? ?, ?????????? ?????????????? ????? ?
a?(-? ?)
arcctg(-2,7)
t
arcctg(-1)
t
3p/4
8
??? ???? ????? ???????????
9
????? ?? ????? ???????? ???????????,
?????????????, ????????????? ? ????????????????
p/4
-2p/3
p/2
3
70?
2/7
-p/6
3p/4
1
3p/2
10
????? ?? ????? ??????????
11
???????? ?????????
??? ???-1 1? arccos(-a) p - arccosa
??? ???-1 1? arcsin(-a) - arcsina
??? ??R arctg(-a) - arctga
??? ??R arcctg(-a) p - arcctga
12
???????? ?????????
??? ???0 p? arccos(cosa) a
??? ???-p/2 p/2? arcsin(sina) a
??? ??(-p/2 p/2) arctg(tga) a
??? ??(0 p) arcctg(ctga) a
13
(No Transcript)
14
????? ???????? ????? ????????? ??????????
2
2. arccosa 3?
15
2. ????? ?? ?????????? arccos(-2/5)
arccos(-3/4) -p/8
16
???????
cos(arctg(-1/3))
17
???????? ???????
17 - 19, ??????????, ???, ??? ????????? ?
??????????. ? 290 296 310 312 318 330 332