Лекция 7. Тригонометричнифункции ...
7. . .
: , , 3
:
(0; 90) 9. .
a
b
sin a
cos b
sin = , cos = , tg =
= , ctg =
=
c
c
cos b
sin a
sin2 + cos2 = 1, tg . ctg = 1
sin(90 - ) = cos , cos(90 - ) = sin , tg(90 - ) = ctg
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7.
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7.
4 / 62
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( 1 , Oxy). . O, Ox, OM ( ).
. O, . M , .. , , . + 360, + 2.360 .., .
7.
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7.
6 / 62
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7.
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?
:
y = sin x y = cos x x [-1; 1], ..
-1 sin x 1, -1 cos x 1 x R.
(1)
y = sin x y = cos x 2,
..
sin(x + 2k) = sin x, cos(x + 2k) = x, k Z.
(2)
, , x [0; 2) y = sin x x [-; ] y = cos x.
y = sin x e , y = cos x , ..
sin(-x) = - sin x, cos(-x) = cos x.
(3)
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