Trigonometry

If a point on the Cartesian plane lies at (4, 2), what is the angle made between the line containing the point and the origin, and the negative y-axis?

a) 1.249 radians

b) 0.463 radians

c) 0.523 radians

d) 1.047 radians

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  1. well first what is the angle of line above the x axis ?
    tan theta = 2/4 = 1/2
    so theta = 26.565 degrees above x axis
    that means it is also 26.565 degrees below the negative x axis
    we want angle from there to 90 degrees below the x axis
    90 - 26.56 = 63.43 degrees to straight down
    63.43 * pi/180 =

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    Damon
  2. b would be to the negative X axis.
    typo?

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    Damon
  3. make a sketch, and mark the angle you want

    slope of the line is 1/2
    so the tangent of the angle = 1/2

    set your calculator to radians, angle in standard position would be .4636...
    then your angle = (π/2 - .4636) = 1.107 radians, I don't see that answer

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    Reiny
  4. I suspect a typo, means negative X axis

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    Damon
  5. When i searched this question on google, some of the answers were saying b, so i typed b

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  6. "anonymous" is edging toward being banned if s/he continues to randomly hand out answers.
    Be aware.

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    Writeacher

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