SOLUTION: Find &#952; for 0° &#8804; &#952; < 360° that satisfies the stated conditions. Round your answer to the nearest hundredth. sec &#952; = -1.6667, tan &#952; < 0

Algebra ->  Trigonometry-basics -> SOLUTION: Find &#952; for 0° &#8804; &#952; < 360° that satisfies the stated conditions. Round your answer to the nearest hundredth. sec &#952; = -1.6667, tan &#952; < 0      Log On


   



Question 820394: Find θ for 0° ≤ θ < 360° that satisfies the stated conditions. Round your answer to the nearest hundredth.
sec θ = -1.6667, tan θ < 0

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find θ for 0° ≤ θ < 360° that satisfies the stated conditions. Round your answer to the nearest hundredth.
sec θ = -1.6667, tan θ < 0
***
secθ=-1.6667=-5/3=-1/cosθ
cosθ=-3/5
θ=126.870˚(In quadrants II where sin>0,cos<0,tan<0)