Find the polar coordinates with r 0 and theta Element 0 360

Find the polar coordinates with r > 0 and theta Element [0, 360 degree) of the following point (that is currently in rectangular form.) (Give decimal approximations. Round answers to the hundredth place.) (-21, 20) (______, _______ degree) Convert the following rectangular equation into a polar equation: (x - 3/2)^2 + y^2 = 9/4 Do not have blank spaces in your answer. Solve for r and simplify if possible. Write out the word, \'theta\' for the angle theta where needed. r = _____ Convert the following polar equation into a rectangular equation: Do not have blank spaces in your answer. theta = 3 pi 4 y = ______

Solution

(-21,20)

r=sqrt(x^2 + y^2)=sqrt((-21)^2 + 20^2)= sqrt(441+400)=29

tan theta=-20/21

theta=tan^-1(-20/21)= 136.4 degree

polar coordinate=(29,136.4)