Well there will not be range but exact values for

... the reasons are clear ... cos(sin

) = 1/

2 will have exact solutions which are

/4 , -

/4, 2

+

/4 , 2

-

/4 and so on ...
Now the sin

can lie between - 1 ad 1 only ... and thus only feasible solutions are

/4 and -

/4 .
Now the equation reduces to sin

=

/4
and sin

= -

/4
The solution to these equations will give value of the

.
I hope this helps
cheers ..!!!!!!