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If secθ = 13/12 and 270° < θ < 360°, then tanθ = _____.

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Final answer:

The value of tanθ is 12/13.

Step-by-step explanation:

To find the value of tanθ, we can use the relationship between tangent and secant, which is given by:

tanθ = 1/secθ

Since secθ = 13/12, we can substitute this value into the equation to get:

tanθ = 1/(13/12) = 12/13

Therefore, tanθ = 12/13.

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