(1) 6 sin(-90°)+3 sin 0°-8 sin 270°+12 cos 180°
2个回答

解(1):6sin(-90°)+3sin0°-8sin270°+12cos180°

=6×(-1)+3×0-8×(-1)+12×(-1)

=-6+0+8-12

=-10

(2) 10cos270°+4sin0°+9tan0°+15cos360°

=10×0+4×0+9×0+15×1

=0+0+0+15

=15

(3) 2cos π/2-tan π/4+3/4 tan² π/6-sin π/6+cos² π/6+sin 3π/2

=2×cos90°-tan45°+3/4×tan²30°-sin30°+coa²30°+sin270°

=2×0-1+3/4×(√3/3)²-1/2+(√3/2)²+(-1)

=0-1+3/4×1/3-1/2+3/4-1

=-1+1/4-1/2+3/4-1

=-3/2

(4) sin²π/3+cos^4 3π/2-tan² π/3

=sin²60°+cos^4 270°-tan²60°

=(√3/2)²+0^4-(√3)²

=3/4+0-3

=3/4-3

=-9/4