Question

计算：tan²30°+2sin60°+tan45°sin30°-tan60°+cos²30°．

Answer 1

原式=(

3

3

)2+2×

3

2

+1×

1

2

-

3

+(

3

2

)2
=

1

3

+

3

+

1

2

-

3

+

3

4

=

19

12

．