sin theta = 1/4 find theta+pi/6 in quadrant 2

Question

i think the question said find exact solution? 

Answer 1

θ = sin^-1(¼)

 

This can be found using a calculator: 14.4775 degrees.  (Not Exact)

 

Now you asked find theta+pi/6 in quadrant 2"

 

1.  theta + pi/6 is an angle not in quadrant 2 (it's 44.4775 deg.)

2.  perhaps your question meant something else; please review.

3.  there is, of course, an angle in quadrant II having the same sine; namely 180-14.4775 deg.