(sin20度)^2 + sin(70度)^2 - cos(20度)^2 * cot(70度)^2 * 1/sin(20度)^2

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/28 08:15:18
(sin20度)^2+sin(70度)^2-cos(20度)^2*cot(70度)^2*1/sin(20度)^2(sin20度)^2+sin(70度)^2-cos(20度)^2*cot(70度)^2*

(sin20度)^2 + sin(70度)^2 - cos(20度)^2 * cot(70度)^2 * 1/sin(20度)^2
(sin20度)^2 + sin(70度)^2 - cos(20度)^2 * cot(70度)^2 * 1/sin(20度)^2

(sin20度)^2 + sin(70度)^2 - cos(20度)^2 * cot(70度)^2 * 1/sin(20度)^2
sin²20°+sin²70°-cos²20°×cot²70°×1/sin²20°
  =sin²20°+cos²(90°-70°)-cos²20°×tan²(90°-70°)×1/sin²20°
  =sin²20°+cos²20°-cos²20°×tan²20°×1/sin²20°
  =1-cos²20°×sin²20°/cos²20°×1/sin²20°
  =1-1
  =0
  答案:0