已知-m+2n=5,那麼3(m-2n)^2+10n-5m-23?

已知-m+2n=5,那麼3(m-2n)^2+10n-5m-23?


∵-m+2n=5
∴m-2n=-5
3(m-2n)²;+10n-5m-23
=3(m-2n)²;-5(m-2n)-23
=3×(-5)²;-5×(-5)-23
=75+25-23
=77



sin{[(4n-1)/4]π-a}·cos{{(4n+1)/4}π-a}化簡


積化和差公式
sin{[(4n-1)/4]π-a}·cos{{(4n+1)/4}π-a}
={sin([(4n-1)/4]π-a+[(4n+1)/4]π-a)+sin([(4n-1)/4]π-a-[(4n+1)/4]π+a)}/2
=(-sin2a-1)/2
=-1/2-sinacosa



n為整數,化簡sin(nπ+a)/cos(nπ+a)的結果


sin(nπ+a)/cos(nπ+a)=tan(nπ+a)=tana