Question

помогите упростить номер 3 и 6

Answer 1

$3.;frac{left(sinfracpi2-sin tright)left(tgfracpi4+sin tright)}{cos 0cdotsin^2t}=frac{left(1-sin tright)left(1+sin tright)}{sin t}=frac{1-sin^2t}{sin^2t}=frac{cos^2t}{sin^2t}=ctg^2t\6.;frac{cos(alpha+2t)+sin2tsinalpha}{cos(alpha-2t)-sinalphasin2t}\cos(alphapmbeta)=cosalphacosbetampsinalphasinbeta\frac{cosalphacos2t-sinalphasin2t+sin2tsinalpha}{cosalphacos2t+sinalphasin2t-sinalphasin2t}=frac{cosalphacos2t}{cosalphacos2t}=1$