Given the identity:
Let's find the value of tanθ, where:
Since it is in the given interval, θ is in the third quadrant.
Now, substitute -0.27 for θ in the identity:
Subtract 0.0729 from both sides:
Take the square root of both sides:
Now, apply the trigonometric identity:
Since tan is positive in the third quadrant, we have:
ANSWER:
3.57