Question

Sin(90°-a)+sin(30°+a) упростить

Answer 1

$sin(90- \alpha ) = sin ( \frac{ \pi }{2} - \alpha ) = cos \alpha$
$sin (30+ \alpha ) = sin30cos \alpha +cos30sin \alpha$
$cos \alpha + 0,5cos \alpha + \frac{ \sqrt{3} }{2} sin \alpha$
$\frac{1}{2} (3cos \alpha + \sqrt{3} sin \alpha ) = 3cos \alpha + \sqrt{3} sin \alpha$