9514 1404 393
Answer:
-1.131
Step-by-step explanation:
The relationship between secant and tangent is ...
sec²(x) = 1 + tan²(x)
In the 3rd quadrant, the secant is negative, so the value is ...
sec(θ) = -√(1 +tan²(θ)) = -√(1 +(1.885/3.572)²) ≈ -√1.278483718
sec(θ) ≈ -1.131
