Question 1121665
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There is a simpler way.



<pre>
sin(x)*cos(x) = {{{1/2}}}   ====>  multiply by 2 both sides  ====>


2sin(x)*cos(x) = 1  ====>  apply the formula  2sin(x)*cos(x) = sin(2x)  ====>


sin(2x) = 1  ====>


The solutions are   2x = {{{p/2}}},   2x = {{{5pi/2}}}.


First solution gives  x = {{{pi/4}}}.


Second solution gives  x = {{{5pi/4}}}.


<U>Answer</U>.  The original equation has two solutions  x = {{{pi/4}}}  and  x = {{{5pi/4}}}.
</pre>

Solved.