Question

True or False The tests for symmetry in polar coordinates are necessary but not sufficient.

Short answer

It is false that the tests for symmetry in polar coordinates are necessary but not sufficient.

Step-by-step solution

Step 1. Given Information 

The graph is symmetric to the polar axis if by replacing $\left(r,\theta \right)$to $\left(r,-\theta \right)$gives an equivalent equation.

Step 2. Determining whether the statement is true or false

The tests for symmetry in polar coordinates are sufficient but not necessary.

Therefore, the given statement is false.