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оеп

10 окт. 2014 г., 7:26:05 (9 лет назад)

1) cos x = -1; x= pi+ 2pik;
2) sin 2x = -1/2;
 2x = (-1)^k+1* pi/6 + pi k;
x = (-1)^k+1*pi/12 + pik /2.
3) cos(3 pi/2 + x) = - sgrt3/2;
sin x = - sgrt3/2;
x = (-1)^k * pi/3 + pik; k-Z.
4) ctg(3pi/ 2  + x) =1; 
- tg x = 1;
tg x = -1;
 x = - pi/4 + pik; k-Z.
5) 4 sin [/4 cos x/4 = sgrt2;
2 * 2sin x/4 cos x/4 = sgrt2;
 2 sin(x/2)= sgrt2;
 sin(x/2) = sgrt2/2;
x=(-1)^k * pi/4 + pik; k-Z.
6) cos^2 3x - sin^2 4x= 1;
 cos(6x) = 1;
 6x = 2 pik;
x = pi k /3; k-Z.
7)sgrt2/2  - cos (3pi/4 + x) = 0;
cos( 3pi/ 4 + x) = sgrt2/2;
1)3pi/4 + x = - pi/4 + 2pik;⇒
x = - pi + 2 pik; k-Z.

2)3 pi/4 + x = pi/4 + pik;⇒
x = pi k; k-Z.