求sin^4α+cos^2α+sin^2αcos^2α的值RT.最终答案为1,

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/16 09:24:36

求sin^4α+cos^2α+sin^2αcos^2α的值RT.最终答案为1,
求sin^4α+cos^2α+sin^2αcos^2α的值
RT.最终答案为1,

求sin^4α+cos^2α+sin^2αcos^2α的值RT.最终答案为1,
sin^4α+cos^2α+sin^2αcos^2α= sin^2α( sin^2α+cos^2α)+cos^2α=sin^2α+cos^2α=1 ,不懂可以HI我

(sinα)^4+(cosα)^2+(sinαcosα)^2
=(sinα)^4+(sinαcosα)^2+(cosα)^2
=(sinα)^2(sinα)^2+(sinαcosα)^2+(cosα)^2
=(sinα)^2[(sinα)^2+(cosα)^2]+(cosα)^2
=(sinα)^2×1+(cosα)^2
=1