求三角函数值.(1)cos 225¤ (2)sin(-3分之1派) (3)sin11分之6派 (4)计算1+tan 15¤分之1-tan15¤的值
问题描述:
求三角函数值.(1)cos 225¤ (2)sin(-3分之1派) (3)sin11分之6派 (4)计算1+tan 15¤分之1-tan15¤的值
答
(1)cos225°=-cos45°=-√2/2.
(2)sin(-π/3)=-sin(π/3)=√3/2(∵π/3=60°)
(3)sin11π/6=sin(2π-π/6)=-sin(π/6)=-1/2.
(4)(1-tan15°)/(1+tan15°)
=(tan45°-tan15°)/(tan45°+tan15°)
=tan(45°-15°)
=tan3°
=√3/3.