已知tan@=3,求sin^2@+sin@cos@+3cos^2@

问题描述:

已知tan@=3,求sin^2@+sin@cos@+3cos^2@

1.5 先分离为 1+sin@cos@+2cos^2@=1+(sin@cos@+2cos^2@)/(sin^2@+cos^2@)=1+(tan@+2)/(tan^2@+1)=1.5