trigonometry, grade 10, question 12

27/01/2017 Grade 10 2,647

\begin{array}{l}<br />
Given:A = 3\tan\left({\frac{{5\pi}}{2}-x}\right)-3\tan\left({\frac{{8\pi-2x}}{2}}\right)\\<br />
B = \sqrt{{{\cos }^2}\left({\frac{{3\pi}}{2}+x}\right)}\times\sqrt{1-{{\sin}^2}\left({13\pi+x}\right)}<br />
\end{array}

  1. Simplify each of A and B.
  2. Deduce that A x B=3