Hi,

sec θ = 2 = 1/cosθ 

   cosθ = 1/2,  θ is 60°, 300°

thought the following (cosx, sinx) summary may be helpful in Your studies:

 

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
 Solve each equation for 0 ≤ Θ ≤ 360

2 = sec theta=1/cos theta

cos theta=1/2

theta=60º and 300º (in quadrants I and IV where sec and cos>0) 

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