(sin3/5π)/(1-cos3/5π)等于多少

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/04 18:36:01
(sin3/5π)/(1-cos3/5π)等于多少
x)(37=ߠa_ <_dW%nhTO:;M<ߠo Wl5ZP)CBfT)

(sin3/5π)/(1-cos3/5π)等于多少
(sin3/5π)/(1-cos3/5π)等于多少

(sin3/5π)/(1-cos3/5π)等于多少
(sin3π/5)/(1-cos3π/5)
=(2sin3π/10*cos3π/10)/(2sin3π/10)^2
=(cos3π/10)/(sin3π/20)
=sin(π/5)/cos(π/5)
sin(π/5)和cos(π/5)的值可以利用 构造黄金三角形来求得.
sin(π/5)=√(10-2√5)/4
cos(π/5)=(√5+1)/4
sin(π/5)/cos(π/5)
=√(10-2√5)/(√5+1)
=√(5-2√5)