Answer:
secθ = - 2
Explanation:
Using the identity
sec²θ = 1 + tan²θ
= 1 + ( )² = 1 + 3 = 4 ( take the square root of both sides )
secθ = ± = ± 2
Since secθ < 0 in the third quadrant , then
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)² = 1 + 3 = 4 ( take the square root of both sides )
= ± 2