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arcsin a, arctg a ; arccos a,
arcctg a , .
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x = t 2tg −
. sin x =; 12 1 tg (/ 2) 2tg(/ 2)
tg ( /2) /2 = π/2 + π n, .. ≠ π +
2π n. sin x cos x .
= π + 2π n .
o .
o sin x = a
| a | > 1, sin x = a . , sin x = 2 .
| a | ≤ 1, x = (1)n arcsin a + πn, n ∈ Z.
:
1. sin x = 0 ⇒ x = πn, n ∈ Z.
2. sin x = 1 ⇒ x = π/2 + 2πn, n ∈ Z.
3. sin x = -1 ⇒ x = -π/2 + 2πn, n ∈ Z.
o cos x = a
| a | > 1, cos x = a . , cos x = 1,5 .
| a | ≤ 1, x = arccos a + πn, n ∈ Z.
:
1. cos x = 0 ⇒ x = π/2 + πn, n ∈ Z.
2. cos x = 1 ⇒ x = 2πn, n ∈ Z.
3. cos x = -1 ⇒ x = π + 2πn, n ∈ Z.
o tg x = a
tg x = a a. x = arctg a + πn, n ∈ Z.
o ctg x = a
ctg x = a a. x = arcctg a + πn, n ∈ Z.