2arctan

2006-11-27 12:59 am
2arctan(二分之根號二)=cos___???
___是填數字(只是分母)
arc是咩意思

回答 (1)

2006-11-28 12:59 am
✔ 最佳答案
Arctan is the inverse of tan.
If y = tan (x)
x = arctan(y)

Now let cos(y) = 2arctan(√2)
So, tan[cos(y)/2] = √2
{tan[cos(y)/2]}^2 = 2
{sin[cos(y)/2]}^2 = 2{cos[cos(y)/2]}^2
1 - {cos[cos(y)/2]}^2 = 2{cos[cos(y)/2]}^2
3{cos[cos(y)/2]}^2 = 1
cos[cos(y)/2] = 1/√3
cos(y) = 2arccos(1/√3)


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