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.