8 Give the rectangular coordinates for the point 9 30 Degree

#8

Give the rectangular coordinates for the point. (9, 30 Degree) (9 Squareroot 3/2, 9/2) (9/2, 9 Squareroot 3/2) (9/2, 9 Squareroot 3/2) (-9 Squareroot 3/2, -9/2)

Solution

8) We have given (9,30⁰)

let r=9 and theta=30⁰

we have x=rcos(theta) and y=rsin(theta)

substitute r=9 and theta =30⁰ into x,y equations

x=9cos(30⁰) and y=9sin(30⁰)

x=9*(sqrt(3)/2) and y=9*(1/2)

rectangular coordinates for given (9,30⁰) is

(x,y)=((9*sqrt(3))/2, 9/2)

answer is A