pre calc
posted by kate .
find delta in each of the following case:
tan delta=0.75

The domain of tan(x) is from π/2 to π/2. So the reference angle for tan(δ)=0.75 is between &pi/2; to 0.
Having found the reference angle δ (approx. 0.64 radians), the general solution will be
δ+kπ where k=an integer. 
so what will be the solution

A precalculus answer is 0.64 + kπ radians, where k∈ℤ.

The reason for the kπ is because tangent is a periodic function, with period equal to π radians.
Also, for your solution, you will need to evaluate more accurately (accuracy according to instructions, 34 decimals normally) the value of arctan(0.75).