Post a New Question

trig

posted by on .

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)

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question