<PRE><B>Question 1102259</B>
Well the 2x there is a little crazy, so replace 2x with z. In other words, z = 2x.

 Now the equation is:

{{{sin(z) = -sqrt(2)/2}}}

Now from the unit circle, we know that z must be equal to 125 and 315 degrees. Now you know what z is in degrees, you can use the previous equation.

z = 2x

Now you obtain the following.
125 = 2x

315 = 2x

Now use algebra and solve for x. But remember the x value is NOT the point on the unit circle that will equal -sqrt(2)/2. It is just a solution to the equation.


*[illustration photograph13]

If you want to find the points on the unit circle that satisfy this equation, you just have to look at the unit circle.

The values appear to be {{{-sqrt(2)/2}}} , {{{-sqrt(2)/2)}}}) and ({{{  sqrt(2)/2 }}}, {{{-sqrt(2)/2}}})
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