SOLUTION: Find equation of the tangent to the curve y(x) = tan x at the point (π/3, root 3 )

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Question 1098867: Find equation of the tangent to the curve y(x) = tan x at the point (π/3, root 3 )

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of the tangent line is equal to the value of the derivative at that point.
m=dy%2Fdx=sec%5E2%28x%29
So when x=pi%2F3,
m=1%2Fcos%5E2%28pi%2F3%29=1%2F%281%2F2%29%5E2=4
Then using the point-slope form of a line,
y-sqrt%283%29=4%28x-pi%2F3%29
+y=4x-%283%2F4%29pi%2Bsqrt%283%29+
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