Post a New Question

trig

posted by .

Given the polar coordinates of a point, how do I find the rectangular coordinates?

(2, 3pi/4)

(-4, 7pi/6)

(2/3, -2pi/3)

Given the rectangular coordinates of a point, how do I find the polar coordinates?

(4, 0)

(3, 4)

(2, -2)

  • trig -

    In (2,3pi/4) r = 2 and the rotation angle is 3pi/4 radians or 135º

    make a sketch, draw you angle first, then go out 2 units on that ray.
    drop a line to the x-axis, you now have a right-angled triangle in the II quadrant with an outside angle of 135º, and a hypotenuse of 2.
    the inside angle is 45º, so it is isosceles.
    Use Pythagoras to find each of the sides to be 1
    But you are in quadrant II, so the point is (-1,1)
    Do the others the same way

    For the second type,
    plot the point, then make a diagram showing the right-angled triangle.
    You will have the x and the y.
    Use Pythagoras to find r,
    then tan ß = y/x will let you find the angle.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    A point in polar coordinates is given, Find the corresponding rectangular coordinates for the point. (r,Q) = (4, 3pi/2) I know that you are suppose to use x=r cos Q and y=sin Q but I do not know how to plug this in.
  2. Math

    plot the point given in polar coordinates and find the corresponding rectangular coordinates for the point. (-1 , -3pi/4) I do not understand.
  3. Math

    The rectangular coordinates of a point are given. Find two sets of polar coordinates for the point. (-3,-3)
  4. trig

    convert the point with polar coordinates (2,7pi/6) into rectangular coordinates.
  5. pre calc.Math

    Please help me any one of these please! Thank You to any one r=2-6 cos(θ) convert this polar coordinate equation into an equation in rectangular coordinates(x,y) given (-8,8) convert this point into polar coordinates with 6 >= …
  6. Pre-Calculus

    Find the rectangular coordinates of the point with the given polar coordinates. (3, 150°)
  7. Pre-Calculus

    Find the polar coordinates of each point with the given rectangular coordinates. Use degrees. (-4,-3)
  8. Trig (math)

    1.) Find all solutions of the equation. Leave answers in trigonometric form. x^2 + 1 - sqrt3i = 0 2.) Give the rectangular coordinates for the point. (9, 2pi/3) 3.) The rectangular coordinates of a point are given. Express the point …
  9. trig

    The rectangular coordinates of a point are given (-5,-5root3). Find polar coordinates of the point. Express theta in radians.
  10. trig

    The rectangular coordinates of a point are given (0,-6). Find polar coordinates of the point such that r greater than 0 and 0 less than or equals theta less than 2pi. how to solve this damon please help me

More Similar Questions

Post a New Question