Trigo-trigo-nometry

Algebra Level pending

For $0 < x \le 2\pi$ , the equation

$\int _{ 0 }^{ x }{ \sin ({ \sin { t } ) } } dt = 0$

has how many solutions?

2 Solutions 3 Solutions No Solutions 1 Solution

1 solution

Harri Bell-Thomas
Oct 11, 2014

The graph of $y= \sin ({ \sin { t } })$ will look very similar to the standard sine graph (with the same x-axis intercepts), though not having maximums and minimums of the same height.

Therefore the area underneath this graph will equal 0 at;

$t = 0, 2\pi, ...$

The only solution inside the range is $t = 2\pi$ ; there is only 1 solution .

Trigo-trigo-nometry

1 solution

0 pending reports