Question

Please help! Will give brainliest to correct answer! (1/3) - 50 POINTS - please no wrong answers.

Answer 1

Answer:

( 6, pi/6)

Step-by-step explanation:

( 3 sqrt(3), 3)

To get r we use x^2 + y ^2 = r^2

( 3 sqrt(3) )^2 + 3^2 = r^2

9 *3 +9 = r^2

27+9 = r^2

36 = r^2

Taking the square root of each side

sqrt(36) = sqrt(r^2)

6 =r

Now we need to find theta

tan theta = y/x

tan theta = 3 / 3 sqrt(3)

tan theta = 1/ sqrt(3)

Taking the inverse tan of each side

tan ^-1 ( tan theta) = tan ^ -1 ( 1/ sqrt(3))

theta = pi /6

Answer 2

r=sqrt(x^2 + y^2)= sqrt(36)= 6
tan(theta)=y/x= sqrt(3)/3
theta = arctan(sqrt(3)/3)= pi/6

So D) (6, pi/6)