Tensor microwave background fluctuations for large multipole order

We present approximate formulas for the tensor BB, EE, TT, and TE multipole coefficients for large multipole order l center dot. The error in using the approximate formula for the BB multipole coefficients is less than cosmic variance for l center dot > 10. These approximate formulas make various qualitative properties of the calculated multipole coefficients transparent: specifically, they show that, whatever values are chosen for cosmological parameters, the tensor EE multipole coefficients will always be larger than the BB coefficients for all l center dot > 15, and that these coefficients will approach each other for l center dot < 100. These approximations also make clear how these multipole coefficients depend on cosmological parameters.