SOLUTION: a point (x,y) moves along a circle represented by x^2+y^2=400, but never leaves the first quadrant. At any location, the point determines an angle theta. A horizontal line through

Algebra ->  Trigonometry-basics -> SOLUTION: a point (x,y) moves along a circle represented by x^2+y^2=400, but never leaves the first quadrant. At any location, the point determines an angle theta. A horizontal line through       Log On


   

Question 759678: a point (x,y) moves along a circle represented by x^2+y^2=400, but never leaves the first quadrant. At any location, the point determines an angle theta. A horizontal line through the point, a vertical line through the point, and a diameter of the circle determine a triangle.which expression gives the area of the triangle in terms of sin(theta) and cos(theta)?
Answer by KMST(5397) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2By%5E2=400 <--> x%5E2%2By%5E2=20%5E2
is the equation of a circle with radius 20, centered at the origin, O(0,0).
x=20cos%28theta%29 y=20sin%28theta%29
The area of right triangle PQR can be calculated as