You cannot answer that until you assign theta a value. Theta is just a Greek letter that represents a variable, much like how we use English letters x,y, etc. to represent our variables.
The reason the Greek letters are more appealing is that there are more Greek letters than English letters. So when working with complex equations that require many variables, it's more convenient to use the Greek alphabet.
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theta = arcsin(0.0138) is the principal value.
Any value for which sin(theta) = 0, i.e. theta = N*180, N being an Integer.
(in a past paper it asks u to solve this for -180</=theta<180, so I have solved it) Tan theta =-1, so theta = -45. Use CAST diagram to find other values of theta for -180</=theta<180: Theta (in terms of tan) = -ve, other value is in either S or C. But because of boundaries value can only be in S. So other value= 180-45=135. Do the same for sin. Sin theta=2/5 so theta=23.6 CAST diagram, other value in S because theta (in terms of sin)=+ve. So other value=180-23.6=156.4.
The derivative of (sin (theta))^.5 is (cos(theta))/(2sin(theta))
By itself, sin theta has no use at all. Similarly, there is no use for the number 14. It is only in the context of something, or things, that measure that value is there any sue for it.