Question 1008826
<table border=1 cellpadding = 5><tr><th>Number</th><th>Statement</th><th>Explanation</th></tr><tr><td>1</td><td>sin(x/2) = sqrt(3) - sin(x/2)</td><td>NA (given equation)</td></tr><tr><td>2</td><td>sin(x/2) <font color=blue>+ sin(x/2)</font> = sqrt(3) - sin(x/2) <font color=blue> + sin(x/2)</font></td><td>Add <font color=blue>sin(x/2)</font> to both sides</td></tr><tr><td>3</td><td>2*sin(x/2) = sqrt(3)</td><td>Combine like terms</td></tr><tr><td>4</td><td>sin(x/2) = sqrt(3)/2</td><td>Divide both sides by 2</td></tr><tr><td>5</td><td>x/2 = pi/3+2pi*n or x/2 = 2pi/3+2pi*n</td><td>Use the <a href = "https://upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Unit_circle_angles_color.svg/2000px-Unit_circle_angles_color.svg.png">unit circle</a> (n is any integer)</td></tr><tr><td>6</td><td>x = 2pi/3+4pi*n or x = 4pi/3+4pi*n</td><td>Multiply both sides of each equation by 2</td></tr></table>