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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

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  1. dumbcow
    • 5 years ago
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    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

  2. anonymous
    • 5 years ago
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    Answers are : (2sinπ /8,π /8),(2sin5π /8,5π /8)

  3. anonymous
    • 5 years ago
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    if that helps

  4. dumbcow
    • 5 years ago
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    im sorry looks like i misunderstood the question what do they mean by ray of theta=pi/4 ?

  5. nikvist
    • 5 years ago
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  6. anonymous
    • 5 years ago
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    thanks

  7. dumbcow
    • 5 years ago
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    thanks for correcting me i forgot to change back to rectangular coordinates

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