Question

Eliminate the variable t from the set of parametric equations. Graph the equation X=5cost Y=5sint Please explain this, I need to know how to do these kinds of equations for my trig final

Answer 1

x^2 + y^2 = 25

Explanation:

x = 5 cos t

cos t = x/5

y = 5 sin t

sin t = y/5

cos^2 t + sin^2 t = 1

(x/5)^2 + (y/5)^2 = 1

x^2/25 + y^2/25 = 1

(x^2 + y^2)/25 =1

x^2 + y^2 = 25