已知sinα+cosα=根号2 则tanα+(1/tanα)等于?_数学解答

已知sinα+cosα=根号2 则tanα+(1/tanα)等于?

人气：490 ℃　时间：2020-01-03 22:54:51

解答

sinα+cosα = √2
sin(π/4+α) = 1
π/4+α = π/2
α = π/4
tanα = 1
tanα+(1/tanα)
= 1+ 1/1
=2