问题 解答题 已知sin(π+α)=12,求sin(π-α)-tan(-α-π)•sin(π2+α)的值. 答案 ∵sin(π+α)=12∴sinα=-12∴sin(π-α)-tan(-α-π)•sin(π2+α)=sinα+tanαcosα=2sinα=-1