求值:3−sin70°2−cos210°.

问题描述:

求值:

3−sin70°
2−cos210°

原式=

3−sin(90°−20°)
2−
1+cos20°
2
=
3−cos20°
2−
1+cos20°
2
=
6−2cos20°
4−1−cos20°
=
2(3−cos20°)
3−cos20°
=2.