sec(θ) = -5.32, easy math problem?
Approximate, to the nearest 0.1, all angles θ in the interval [0, 360) that satisfy the equation.
sec(θ) = -5.32
The correct answers are 100.8° and 259.2°. I want to know how they were gotten, so could you please explain how to do this?
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Convert the secant function into the cosine function by the relationship cos = 1/sec...
cos = 1/(-5.32)
cos = -.18797
arccos (-.18797) = 100.83
That is one angle. The other angle is the mirror image across the x axis or 259.17. Or to put it a different way... one angle is 90 + 10.83 and the other is 270 - 10.83.