1)3sin2-4tg4-3cos6+3ctg2 2)tg54sin3-cos76sin32 3)sin=34,02 4)ctg=23,32 5)ctg-cos-1sin 6)(sinctg)+(costg)2

1) 3 * sin ( 2) - 4 * tg ( 4) - 3 * cos ( 6) + 3 * ctg ( 2) = 3 * 1 ^ 2 - 4 * 1 ^ 2 - 3 * (3/2) ^ 2 + 3 * 0 ^ 2 = 3 - 4 - 3 * 3/4 = - 1 - 9/4 = - 4/4 - 9/4 = - 13/4;

2) tg (5 * 4) sin ( 3) - cos (7 * 6) sin (3 * 2) = 1 * 3/2 - (-3/2) * (- 1) = 3/2 - 3/2 = 0;

3) sin = 3 4, 0 2;

cos a = (1 - sin ^ 2 a) = (1 - (3/4) ^ 2) = (1 - 9/16) = 16/16 - 9/16) = (7/16) = 7/4;

4) ctg = 2 3, 3 * 2;

tg a = 1/ctg a = 1/(2/3) = 1 * 3/2 = 3/2 = 1,5;

5) ctg - (cos - 1) sin = cos a/sin a - (cos - 1) sin = (cos a - (cos a - 1))/sin a = (cos a - cos a + 1)/sin a = 1/sin a;

6) (sin ctg ) + (cos tg) = (sin cos /sin ) + (cos sin /cos) = cos ^ 2 + sin ^ 2 = 1.