已知角α=-7π/3,求2sinα+cosα的值
问题描述:
已知角α=-7π/3,求2sinα+cosα的值
已知角α终边上有一个点P(4t,-3t)(t≠0),求2sinα+cosα的值。
答
原式=2sin(-7π/3)+cos(-7π/3)
=-2sin7π/3+cos7π/3
=-2sin(2π+1/3π)+cos(2π+1/3π)
=-2sin1/3π+cos1/3π
=1/2-根号下3