【】说完 Sin1° 了，大家想看看 Sin2° 的模样不？

风花飘飘

方程
4*x^3-3*x+sin(6°)=0
4*x^3-3*x+((-1-5^(1/2)+(30-6*5^(1/2))^(1/2))/8)=0
x1=
((-1/2)-(sqrt(3)*%i)/2)*((sqrt((2+sqrt(30-6*sqrt(5)))*sqrt(5)+sqrt(30-6*sqrt(5))+14)*%i)/2^(11/2)-((-sqrt(5))+sqrt(30-6*sqrt(5))-1)/64)^(1/3)+((sqrt(3)*%i)/2-1/2)/(4*((sqrt((2+sqrt(30-6*sqrt(5)))*sqrt(5)+sqrt(30-6*sqrt(5))+14)*%i)/2^(11/2)-((-sqrt(5))+sqrt(30-6*sqrt(5))-1)/64)^(1/3))
=sin(2°)
= 0.034899496702……
=((sqrt(3)*%i)/2-1/2)/(4*(sqrt((2-2*sqrt(30-6*sqrt(5)))*sqrt(5)-6*sqrt(5)-2*sqrt(30-6*sqrt(5))-28)/64-((-sqrt(5))+sqrt(30-6*sqrt(5))-1)/64)^(1/3))+(sqrt((2-2*sqrt(30-6*sqrt(5)))*sqrt(5)-6*sqrt(5)-2*sqrt(30-6*sqrt(5))-28)/64-((-sqrt(5))+sqrt(30-6*sqrt(5))-1)/64)^(1/3)*((-1/2)-(sqrt(3)*%i)/2)

风花飘飘

sin2°=

%i*((-(sqrt(3)*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)*cos((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3))/2)-((7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)*sin((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3))/2+(sin((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3)/(2*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6))+(sqrt(3)*cos((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3))/(2*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)))/4)+((sqrt(3)*sin((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3))/(2*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6))-cos((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3)/(2*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)))/4+(sqrt(3)*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)*sin((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3))/2-((7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)*cos((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3))/2


其中：

风花飘飘

sin2°=
%i*((-(sqrt(3)*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)*cos((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3))/2)-((7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)*sin((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3))/2+(sin((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3)/(2*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6))+(sqrt(3)*cos((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3))/(2*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)))/4)+((sqrt(3)*sin((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3))/(2*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6))-cos((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3)/(2*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)))/4+(sqrt(3)*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)*sin((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3))/2-((7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)*cos((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3))/2
其中：
cos((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3)
=(((sqrt((2+sqrt(30-6*sqrt(5)))*sqrt(5)+sqrt(30-6*sqrt(5))+14)*%i)/2^(11/2)-((-sqrt(5))+sqrt(30-6*sqrt(5))-1)/64)^(1/3)+1/(4*((sqrt((2+sqrt(30-6*sqrt(5)))*sqrt(5)+sqrt(30-6*sqrt(5))+14)*%i)/2^(11/2)-((-sqrt(5))+sqrt(30-6*sqrt(5))-1)/64)^(1/3)))
= 0.8480480961564258
=A=Sin58°
其中：
sin((%pi-atan(sqrt((-(2-2*sqrt(30-6*sqrt(5)))*sqrt(5))+6*sqrt(5)+2*sqrt(30-6*sqrt(5))+28)/((-1)+sqrt(30-6*sqrt(5))-sqrt(5))))/3)
=B=Sin32°
=0.5299192642332035
代入：
%i*((-(sqrt(3)*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)*A)/2)-((7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)*B)/2+(B/(2*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6))+(sqrt(3)*A)/(2*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)))/4)+((sqrt(3)*B)/(2*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6))-A/(2*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)))/4+(sqrt(3)*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)*B)/2-((7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)*A)/2
QIZHONG:
(-(sqrt(3)*(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)*A)/2)
=  (-3^(1/2)*A/4)
或
(7/1024+sqrt(30-6*sqrt(5))/2048+((-1)+sqrt(30-6*sqrt(5))-sqrt(5))^2/4096+sqrt(5)/1024+(sqrt(30-6*sqrt(5))*sqrt(5))/2048)^(1/6)
=  (1/2)
再代入：
%i*((-(sqrt(3)* (1/2)*A)/2)-( (1/2)*B)/2+(B/(2*(1/2))+(sqrt(3)*A)/(2*(1/2)))/4)+((sqrt(3)*B)/(2*(1/2))-A/(2*(1/2)))/4+(sqrt(3)* (1/2)*B)/2-((1/2)*A)/2
=(sqrt(3)*B-A)/2
=sin2°
=(sqrt(3)*sin(32*%pi/180)-sin(58*%pi/180))/2
B=Sin32°
=(2*(((sqrt(3)*%i)/2-1/2)/(4*(sqrt((2-2*sqrt(30-6*sqrt(5)))*sqrt(5)-6*sqrt(5)-2*sqrt(30-6*sqrt(5))-28)/64-((-sqrt(5))+sqrt(30-6*sqrt(5))-1)/64)^(1/3))+(sqrt((2-2*sqrt(30-6*sqrt(5)))*sqrt(5)-6*sqrt(5)-2*sqrt(30-6*sqrt(5))-28)/64-((-sqrt(5))+sqrt(30-6*sqrt(5))-1)/64)^(1/3)*((-1/2)-(sqrt(3)*%i)/2))+( (((sqrt((2+sqrt(30-6*sqrt(5)))*sqrt(5)+sqrt(30-6*sqrt(5))+14)*%i)/2^(11/2)-((-sqrt(5))+sqrt(30-6*sqrt(5))-1)/64)^(1/3)+1/(4*((sqrt((2+sqrt(30-6*sqrt(5)))*sqrt(5)+sqrt(30-6*sqrt(5))+14)*%i)/2^(11/2)-((-sqrt(5))+sqrt(30-6*sqrt(5))-1)/64)^(1/3)))))/(3^(1/2))
=0.5299192642332035

风花飘飘

由半角公式可求得tan1°的根式表达。

红树

计算器：sin2°=0.0348...，楼主：给出sin2°=0.034899...，两个答案不一样吗？楼主：想表达什么意思吗？

风花飘飘

风花飘飘

何日练得霹雳掌，玉宇澄清万里霾。

【中国降霾霹雳行动小组】于“2015年人民节”组建成立。
鉴于霾妖之猖獗，鲍工经审慎意淫后决定由鲍丰武方程工程研究院牵头主管成立本小组并任组长。

小组当前任务：
利用城市高层建筑，架设高压放电设施，实施对空高压高频放电击穿空气，通过中和大气中有害带电粒子而实现降霾目的。

2016年任务：
避开气响局、环表部等砖家云集单位的干扰，利用‘’数学永动机原理‘’，使大气层发生极速对流，形成雷电云，创造实现“冬雷滚滚”的反气象条件，利用闪电的电荷中和原理，实现空气净化而达到降霾的效果。
说白了，就是“人工打雷打闪”。

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下一步任务：
2018年实现夏季地区性大范围人工降雪。

据鲍工预计，到2020年中国将全面完成“冬雷滚滚夏雨雪”的反气象任务，全面完成“人祸豺狼东风摧，天灾妖雾战鼓擂”的战略部署，全面进入‘’蓝天白云、四季如春‘’的“大康”社会。

人祸豺狼东风摧，
天灾妖霾战鼓擂；
斗天斗地不斗人，
反贪反腐也反贼。

风花飘飘