P.o.t.W. #23 Solution
■ GDC allowed ■ (a) (i) The period of the tangent function is \(\pi . Hence, any two angles \(\theta and \(\theta + \pi will have the same tangent value; i.e. \(\tan \left( \theta \right) = \tan \left( {\theta + \pi} \right) for any value of \(\theta such that \(\theta \ne \left( {2n + 1} \right)\dfrac{\pi}{2},\;n \in \mathbb{Z} . Thus, there are infinite counterexamples to the statement. One counterexample is...