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izabella9
@izabella9
July 2022
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.решить все 4 примера
пожалуйстааааа)))
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Answers & Comments
magicmasha
1) (1+tg^2 a)cos^2 a -1= cos^2 a+(sin^2 a/cos^2 a)*cos^2 a-1= cos^2 a+sin^2 a-1= 1-1=0;
2) 1-sin^2 a(1+ctg^2 a)= 1 -(sin^2 a+(cos^2 a/sin^2 a)*sin^2 a)= 1-(sin^2 a+cos^2 a)= 1-1=0;
3)1+tg^2 a+1/sin^2 a= 1/cos^2 a+1/sin^2 a= (sin^2 a+cos^2 a)/cos^2 a*sin^2a= 1/cos^2 a*sin^2 a;
4) (1+tg^2 a)/(1+ctg^2 a)= (1/cos^2 a)/(1/sin^2 a)= (1/cos^2 a)*sin^2 a= sin^2 a/cos^2 a= tg^2 a.
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Answers & Comments
2) 1-sin^2 a(1+ctg^2 a)= 1 -(sin^2 a+(cos^2 a/sin^2 a)*sin^2 a)= 1-(sin^2 a+cos^2 a)= 1-1=0;
3)1+tg^2 a+1/sin^2 a= 1/cos^2 a+1/sin^2 a= (sin^2 a+cos^2 a)/cos^2 a*sin^2a= 1/cos^2 a*sin^2 a;
4) (1+tg^2 a)/(1+ctg^2 a)= (1/cos^2 a)/(1/sin^2 a)= (1/cos^2 a)*sin^2 a= sin^2 a/cos^2 a= tg^2 a.