Задача 62807 ...

61e116c811367515e09eb4a2

23.01.2022 14:26:51

Используя формулы приведения, вычислите:

1) sin 5π/4;
2) tg 7π/6;
3) cos 5π/3;
4) ctg 2.5π;

5) cos(-47π/6);
6) sin(-8π/3);
7) tg(-2π/3);
8) ctg(-7π/4);

5f3ea7e3faf909182968ddd9

23.01.2022 14:34:36

★

1) sin((5π/4))=sin(π+(π/4))=-sin(π/4)=-sqrt(2)/2

2)tg(7π/6)=tg(π+(π/6))=tg(π/6)=sqrt(3)/3

3) cos(5π/3)=cos(2π-(π/3)=cos(π/3)=1/2

4)ctg2,5π=ctg(2π+(π/2))=ctg(π/2)=0

5)cos(-47π/6)=cos((-48π+π)/6)=cos(-8π+(π/6))=cos(π/6)=sqrt(3)/2

6)sin(-8π/3)=sin((-9π+π)/3)=sin(-3π+(π/3))=sin(π/3)=sqrt(3)/2

7)tg(-2π/3)=tg((-3π+π)/3)=tg(-π+(π/3)=tg(π/3)=sqrt(3)

8) ctg(-7π/4)=ctg((-8π+π)/4)=ctg(-2π+(π/4)=ctg(π/4)=1