Please see the attached file.When does the graph of

jlawson

Please see the attached file.

When does the graph of x(t)=5/6*sin⁡(10t-0.927) equal 5/12

5/12=5/6*sin⁡(10t-0.927)

One answer, attached, is when the graph goes through the green points but I can't seem to figure out how to calculate the values of the red points.

Any help would be greatly appreciated.

Attached Thumbnails

 

haruspex

The value of the function arcsin(y) is defined to be the solution of sin(x) = y that lies in the range (-π/2, +π/2]. There is a second solution π-arcsin(y) in the range (+π/2, +π]. This will form the basis of the 'red' points.

jlawson

Oh, yep, duh.

Thank you very much for your help.