If sinθ = 2/3 and θ is located in quadrant ii, then tan2θ =

Step-by-step explanation:

Quadrant 2 means cosine is negative.

So

So the adjacent side is

So

Now to find

We will need before proceeding.

Now plug it in and the rest is algebra.

Now the algebra, the simplifying.... We need to get rid of the compound fraction.  We will multiply top and bottom by

This will give us

Multiply top and bottom by

The answer reduces to

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

step-by-step explanation: