if sin T is .5299 and cos T is .8481 then what is tan

tan T = sin T / cos T = .5299/.8481 = 0.6248083952364108

And "T" is given by

tan^-1 (0.6248083952364108) = about 32° (± n360°)

{Verify for yourself using the inverse sine and cosine functions for the given values of sine and cosine that this is true.... !!!!}