Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.a. The point with Cartesian coordinates (?2, 2) has polar coordinates , , , and .b. The graphs of r cos ? = 4 and r sin ? = ?2 intersect exactly once.c. The graphs of r = 2 and ? = ?/4 intersect exactly once.d. The point (3, ?/2) lies on the graph of r = 3 cos 2?.
Solution 57EWe have to explain whether given statement are true or false (a ) given statement is cartesian coordinates (-2,2) has polar coordinates ,,,\The statement is true (b) given statement is “the graphs r = cos intersects exactly at one point “(c) given statement is “the graph r -2, intersects exactly at one point This is false Because the current and line are intersecting at two point”(d) given statement is “ lies on the curve r = 3 cos2 the statement is true