Question

已知sinα+cosα=1 求tanα+cosα

Answer 1

sinα+cosα=1
(sinα+cosα)^2=1
sin2α=0
2α=0或180
α=0或90
tanα+cosα=1或无穷大

Answer 2

a=0，tana有意义tana=0,cosa=1.cosa+tana=1

Answer 3

sinα+cosα=1
(sinα+cosα)^2=1
(sinα)^2+(cosα)^2+2sinαcosα=1
1+2sinαcosα=1
2sinαcosα=0
sin2α=0
α=kπ±π

tanα+cosα
=0+1
=1