trig

posted by .

Point P is located at the intersection of a circle with a radius of r and the terminal side of an angle q. Find the coordinates of p to the nearest hundreth.

q = -60° , r = 7

  • trig -

    Assuming you are using angle rotation convention, that would put point P into the 4th quadrant.
    After drawing the triangle with hypotenuse of 7 and angle of 60º, we can see that
    sin -60 = y/7 ----> y = 7(sin -60º) = -6.06
    cos -60º = x/7 = 7cos -60º = 3.5

    so P is (3.5,-6.06)

    or

    we could have used the ratios of sides of the 30-60-90 triangle which are 1:√3:2

    then x:y:7 = 1:√3:2

    x/1 = 7/2 ---> x = 3.5
    y/√3 = 7/2 ---> y = 7√3/2 = 6.06
    Realizing where P is located,
    P is (3.5,-6.06)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. trig

    I have no idea how to solve this problem. <A is in standard position on a unit circle. Point P (-1/2, -√3/2) is the point of intersection of its terminal side with the unit circle. Find the measure of <A in radians.
  2. Trig

    A 30 degree central angle is in central position in a circle with a radius of 7 square roots of 5 (245). What are the coordinates of the point where the terminal ray intersects the cicrle?
  3. trig

    Find the values of the other five trigonometric functions for angle S. a) cos S=1/3 and the terminal side of angle S is in Q1. b) tan S=-10/7 and the terminal side of S is in Q2. c) sin S=-5/14 and the terminal side of S is in Q3. …
  4. trig

    Find the values of the other five trigonometric functions for angle S. a) cos S=1/3 and the terminal side of angle S is in Q1. b) tan S=-10/7 and the terminal side of S is in Q2. c) sin S=-5/14 and the terminal side of S is in Q3. …
  5. Precalculus

    The figure shows part of a curve traced by a point on the circumference of a circle of radius 4 that rotates, without slipping, around a fixed circle of radius 2. The rotating circle starts with angle t = 0 radians and the point P …
  6. trig

    Let  be an angle in standard position and the point (a, b) be the point of intersection of the terminal side of  with the unit circle. State the unit circle definitions of the six trigonometric functions. cos = sec = sin = csc …
  7. Trigonometry

    Point P is located at the intersection of the unit circle and the terminal side of angle theta in standard position. Find the coordinates of P to the nearest thousandth.
  8. Math Trig

    Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (12, 5) lies on its terminal side?
  9. Math Trig

    Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (12, 5) lies on its terminal side?
  10. Trigonometry

    Point P is located at the intersection of the unit circle and the terminal side of angle theta in standard position. Find the coordinates of P to the nearest thousandth. theta = -105degrees Please explain the steps. I'm completely …

More Similar Questions