Question

Which pair of values are NOT equal?

Answer 1

`\tan \theta ~~ \text{and}~~ \tan( \pi - \theta)`

Explanation:

`\textbf{A)}\\\\-\tan \frac{3 \pi}4 = - \tan\left(2 * \frac{\pi}2 - \frac{\pi}4 \right) = - \left(- \tan \frac{ \pi}4 \right) = \tan \frac{\pi}4\\\\\textbf{These pairs are equal.}\\\\\\ \textbf{B)}\\\\\tan \left( \frac{5 \pi}4 \right) = \tan \left( 2 * \frac{\pi}2 + \frac{\pi}4\right) = \tan \frac{\pi}4\\\\\textbf{These pairs are equal.}\\\\ \textbf{C)}\\\\\tan \frac{\pi}2= - \tan 90^(\circ) = \infty\\\\\\\textbf{These pairs are equal.}\\\\\\ \textbf{D)}\\\\`

`\tan ( \pi - \theta ) = - \tan \theta \\eq \tan \theta\\\\\textbf{These pairs are not equal.}`