SOLUTION: Approximate, to the nearest 0.1, all angles θ in the interval [0, 360) that satisfy the equation. sec(θ) = -1.526

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Question 573340: Approximate, to the nearest 0.1, all angles θ in the interval [0, 360) that satisfy the equation.
sec(θ) = -1.526

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Approximate, to the nearest 0.1, all angles θ in the interval [0, 360) that satisfy the equation.
sec(θ) = -1.526
cos(θ)=1/sec(θ)=1/-1.526=-.6553
using calculator
cos^-1(-.6553)=130.9 deg (reference angle=49.1 deg)
Angles are 130.9 deg and 229.1 deg in quadrants II and III where cos<0