find another representation, (r, θ) for the point under the given conditions. (5, pi/2), r

Question

solve problem and please show steps

Mark M. · Accepted Answer

(r, θ) can also be represented in polar coordinates as (-r, θ+π).
 
So, (-5, 3π/2) is the same point as (5, π/2).

Patrick D. · Answer

X = r*cos(thetha)
Y = r(sin(theta)
r = 5
theta = pi/2
 
X = 5*cos(pi/2) = 5*0 = 0
Y = 5*sin(pi/2) = 5 * 1 = 5
 
so (0,5)

find another representation, (r, θ) for the point under the given conditions. (5, pi/2), r<0 and 0 < θ < 2pi