- #1
Frankenstein19
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Homework Statement
Find the slope of the tangent line to the give polar curve at the point specified by the value of theta R = 1/θ, θ=π
Homework Equations
##\frac{(dr/dθ)sinθ + rcosθ}{(dr/dθ)cosθ - rsinθ}##
The Attempt at a Solution
The derivative of r is -1/θ2
Then plugging things into the formula I get
##\dfrac{\dfrac{-1}{θ^{2}}sinθ +\dfrac{1}{θ}cosθ}{\dfrac{-1}{θ^{2}}cosθ -\dfrac{1}{θ}sinθ}##
then i take out a factor is -1/θ from both the denominator and numerator and get
##\dfrac{\dfrac{sinθ}{θ}+cosθ}{\dfrac{cosθ}{θ}-sinθ}##
then plugging in pi wherever thetha is and doing some math i get that its all equal to pi
the correct answer is supposed to be -pi
what am i doing wrong