Question

Помогите решить. Нужно упростить.

Answer 1

(sin ( n - a) + cos( n/2 + a) + ctg(n-a)) / ( tg 3n/2 - a)= (sin a - sin a - ctg a) / (ctg a) = -ctg a/ ctg a= -1

((sin²(n+a)+sin²(n2+a)) / (cos(3n/2+a)) * ctg(3n/2-a) = ((sin² a +cos²)/sin a) * tg a = (1/sin a)*(sin a/cos a) = 1/cos a

Answer 2

$1) frac{Sin(pi-alpha)+Cos(frac{pi} {2}+alpha)+Ctg(pi- alpha)}{tg(frac{3pi} {2}-alpha)} = frac{Sinalpha-Sinalpha-Ctgalpha}{Ctgalpha}=- frac{Ctgalpha} {Ctgalpha}=-1$

$2)frac{Sin^{2}(pi+alpha)+Sin^{2}(frac{pi} {2}+alpha)}{Cos(frac{3pi} {2}+alpha)}*Ctg( frac{3pi} {2}- alpha)= frac{Sin^{2}alpha+Cos^{2}alpha}{Sinalpha}*tg alpha= frac{1}{Sinalpha}* frac{Sinalpha} {Cosalpha}= frac{1}{Cosalpha}$