Question

(PUC) sen x/2 + 2 tg 3x/4, para que x=pi/3 ?

Answer 1

$180^{\circ}=\pi \ rad\\\\\\x=\frac{\pi}{3}\quad\to\quad x=\frac{180^{\circ}}{3}\quad\to\quad x=60^{\circ}\\\\\\sen\left(\frac{x}{2}\right)+2\cdot tg\left(\frac{3x}{4}\right)=\\\\sen\left(\frac{60}{2}\right)+2\cdot tg\left(\frac{3\cdot60}{4}\right)=\\\\sen\left(30\right)+2\cdot tg\left(45\right)=\\\\\frac{1}{2}+2\cdot1=\frac{5}{2}\\\\\\sen\left(\frac{x}{2}\right)+2\cdot tg\left(\frac{3x}{4}\right)=\frac{5}{2}$