If cosecA – cotA =45, then cosec A =

The given equation is cosecA - cotA = 45.

We know that cosecA = 1/sinA and cotA = cosA/sinA.

So, we can rewrite the equation as 1/sinA - cosA/sinA = 45.

This simplifies to (1 - cosA)/sinA = 45.

We also know that sin^2A + cos^2A = 1, so we can rewrite cosA as sqrt(1 - sin^2A).

Substituting this into the equation gives us (1 - sqrt(1 - sin^2A))/sinA = 45.

Solving this equation for sinA will give us the value of sinA, and then we can find cosecA by taking the reciprocal of sinA.

However, this equation is a bit complex and may not have a simple solution. It might be easier to solve this problem if we had more information about the angle A.