anonymous
  • anonymous
find all points on r=2sinθ where the tangent line is parallel to the ray θ=π/4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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dumbcow
  • dumbcow
First 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
  • anonymous
Answers are : (2sinπ /8,π /8),(2sin5π /8,5π /8)
anonymous
  • anonymous
if that helps

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dumbcow
  • dumbcow
im sorry looks like i misunderstood the question what do they mean by ray of theta=pi/4 ?
nikvist
  • nikvist
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anonymous
  • anonymous
thanks
dumbcow
  • dumbcow
thanks for correcting me i forgot to change back to rectangular coordinates

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