1.
sin347 cos148+cos13 cos58
=sin(360-13)cos(90+58)+cos13cos58
=(-sin13)(-sin58)+cos13cos58
=sin13sin58+cos13cos58
=cos(58-13)
=cos45
=二分之根号二
2.因为tanα=3,(sinα)^2+(cosα)^2=1,
所以sinα=3/10 *根号10,cosα=1/10 *根号10;或sinα=-3/10 *根号10,cosα=-1/10 *根号10
sinα-2sinαcosα+3cosα
=3/10 *根号10-2*3/10 *根号10 *1/10 *根号10+3* 1/10 *根号10
=
或sinα-2sinαcosα+3cosα
=-3/10 *根号10-2 *(-3/10 *根号10)*(-1/10 *根号10)+3*(-1/10 *根号10)
=
3.
5sin90+2cos0-3tan180+6cos180
=5*1+2*1-3*0+6*(-1)
=5+2-6
=1
1、sin347 cos148+cos13 cos58
=sin13*sin58+cos13 cos58
=cos(58-13)=cos45=√2/2
2、已知tanα=3,则sinα-2sinαcosα+3cosα等于()
(1)第一象限 sina=√3/2 cosa=1/2 sinα-2sinαcosα+3cosα=3/2
(2)第一象限 sina=-√3/2 cosa=-1/2 sinα-2sinαcosα+3cosα=-√3-3/2
3、计算5sin90+2cos0-3tan180+6cos180
=5+2-0-6=1