Question 987287
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If &nbsp;{{{sin(alpha)}}} = {{{sqrt(3)/2}}} &nbsp;then &nbsp;{{{alpha}}} = {{{pi/3}}} &nbsp;&nbsp;<B>OR</B> &nbsp;&nbsp;{{{alpha}}} = {{{2pi/3}}}.


The first implication gives


{{{(pi*t)/6}}} = {{{pi/3}}}.


Hence, &nbsp;<B>t</B>&nbsp; = 2 &nbsp;in this case. 


The second implication gives


{{{(pi*t)/6}}} = {{{2pi/3}}}.


Hence, &nbsp;<B>t</B>&nbsp; = 4 &nbsp;in this case. 


<B>Answer</B>. &nbsp;<B>t</B>&nbsp; = 2 &nbsp;&nbsp;OR&nbsp;&nbsp; &nbsp;<B>t</B>&nbsp; = 4.