Homework Soursefind the exact value of sin2arctan sqrt2 I have the answer t
find the exact value of sin(2arctan sqrt2)
I have the answer, this is not where I\'m having the problem... I need to know how to arrive at it, so please small, descriptive steps as if I\'m a complete moron with a learning disability.
I have the answer, this is not where I\'m having the problem... I need to know how to arrive at it, so please small, descriptive steps as if I\'m a complete moron with a learning disability.
Solution
find the exact value of sin(2arctan sqrt2)
arc tan(sqrt(2) = x
tanx = sqrt(2)
sinx = sqrt(2) / sqrt(3)
cosx = 1/ sqrt(3)
sin(2x) = 2 sinx cosx = 2 sqrt(2)/ sqrt(3) *1/sqrt(3) = 2 sqrt(2) / 3
