cot^2x=2tan^2y+1 求sin^2y+2sin^2x可以的话请写上过程_数学解答

cot^2x=2tan^2y+1 求sin^2y+2sin^2x
可以的话请写上过程

人气：229 ℃　时间：2020-06-04 03:09:06

解答

cot^2x=2tan^2y+1 ,
cot^2x+1=2tan^2y+2,
1/(sinx)^2=2/(cosy)^2,
(cosy)^2=2(sinx)^2,
1-(siny)^2=2(sinx)^2,
(siny)^2+2(sinx)^2=1.