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anonymous
 5 years ago
find all points on r=2sinθ where the tangent line is parallel to the ray θ=π/4
anonymous
 5 years ago
find all points on r=2sinθ where the tangent line is parallel to the ray θ=π/4

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dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0First to find tangent line of a function, you need the slope so we have to differentiate dr/dtheta = 2cos(theta) this has to be parallel to ray theta=pi/4 which is a straight line with slope of 1 set our slope equal to 1 2cos(theta) = 1 cos(theta) = 1/2 theta = arccos(1/2) = pi/3, 5pi/3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Answers are : (2sinπ /8,π /8),(2sin5π /8,5π /8)

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0im sorry looks like i misunderstood the question what do they mean by ray of theta=pi/4 ?

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0thanks for correcting me i forgot to change back to rectangular coordinates
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