根号3sin12分之派+cos12分之派的值是 多少

问题描述:

根号3sin12分之派+cos12分之派的值是 多少
A. O
B. 根号2
C.根号3
D.1

B.根号2
(√3)sin(π/12) + cos(π/12)
=[cos(π/6)/sin(π/6)]sin(π/12) + cos(π/12)
=[cos(π/6)sin(π/12) + cos(π/12)sin(π/6)]/sin(π/6)
=sin(π/6+π/12)/(1/2)
=2sin(π/4)
=√2