求证sin^4α+sin^2αcos^2α+cos^2α=1 求详解

2024-12-31 15:44:17
推荐回答(1个)
回答1:

sin^4α+sin^2αcos^2α+cos^2α
=sin^4α+sin^2α(1-sin^2α)+cos^2α
=sin^4α+sin^2α-sin^4α+cos^2α
=sin^2α+cos^2α
=1