- O'rnek - [ sin (2 x-(pi)/(6))-cos (0,2 pi) ( kac ) ] Poreli vede vor

To simplify the expression $Stan(2x-\frac {\pi }{6})-cos[(x+2\pi )]$, we can use the trigonometric identities.<br /><br />First, let's simplify $Stan(2x-\frac {\pi }{6})$:<br />$Stan(2x-\frac {\pi }{6}) = \frac{1}{2}(1-\cos(4x-\frac {\pi }{3}))$<br /><br />Next, let's simplify $cos[(x+2\pi )]$:<br />$cos[(x+2\pi )] = cos(x)$<br /><br />Now, we can substitute these simplified expressions back into the original expression:<br />$Stan(2x-\frac {\pi }{6})-cos[(x+2\pi )] = \frac{1}{2}(1-\cos(4x-\frac {\pi }{3}))-cos(x)$<br /><br />Therefore, the simplified expression is $\frac{1}{2}(1-\cos(4x-\frac {\pi }{3}))-cos(x)$.