1,(sinx)^4-(cosx)^4=(sinx)^2-(cosx)^2
2,(sinx)^5+(cosx)^5=(sinx+cosx)[1-sinxcosx(1+sinxcosx)]
3,tanx-tany=[cos(x-y)-cos(x+y)]/[cos(x-y)+cos(x+y)]
4,cos(x+y+z)=cosxcosycosz(1-tanxtany-tanytanz-tanxtanz)
2,(sinx)^5+(cosx)^5=(sinx+cosx)[1-sinxcosx(1+sinxcosx)]
3,tanx-tany=[cos(x-y)-cos(x+y)]/[cos(x-y)+cos(x+y)]
4,cos(x+y+z)=cosxcosycosz(1-tanxtany-tanytanz-tanxtanz)