Question

If $\sum _{i=1}^{20}{\sin }^{-1}{x}_i=10\pi$ then find the value of $\sum _{i=1}^{20}{x}_i$.

Answer 1

Answer: 20.00

$\frac{-\pi }{2}\le {\sin }^{-1}{x}_i\le \frac{\lambda }{2}$
$\because {\sin }^{-1}{x}_i=\frac{\pi }{2}$
$x_i=1$
$\because 1\le i\le 20$
so, $\sum _{i=1}^{20}{x}_i=20$