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Reciprocal of Cosine is Secant
Cosine of -90 is 0.
it would be secant, 1/cosine
[ cos(Θ) ]-1 = 1/cosine(Θ) = secant(Θ)
All the angles in 4th quadrant have positive cosine and negative sine e.g. 280,290,300,310...etc.