If sec(θ)=2 and θ is in the first quadrant, what is the value of tan(θ)?
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Correct answer: A
Explanation
Given:
secθ = 2
θ is in the first quadrant
By the formula:
sec²θ = 1 + tan²θ
sec²θ = 2²
sec²θ = 4
4 = 1 + tan²θ
tan²θ = 3
tanθ = √3