Sin[θ+(pi/6)] Multiple values?

[KaleLetendre]

Question:
If cosθ=(3/5) and 0<θ<2pi
determine the value of sin[θ+(pi/6)]

Attempt:
θ=cos^-1(3/5)
θ=0.927295218
sin[θ+(pi/6)]=0.992820323

real answer = 0.992820323, -0.39282
How do i find the second value, all i can find is 0.992820323 but not -0.39282

 

[DrClaude]

Attempt:
θ=cos^-1(3/5)
θ=0.927295218

This is not the only possibility.

 

[KaleLetendre]

thank you i understand now