
Kenneth S. answered 12/12/17
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Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018
you were taught that sec function is reciprocal of cosine, though.
2cos θ + 3 = -1/cos θ
Let u = cos θ; then solve the above equation, which is quadratic in u.
Then go back to u = cos θ and figure out what θ is.