given cot theta = 11/12, find tan of theta and sin of theta

cotØ = 11/12

tanØ = 12/11
r^2 = 11^2 + 12^2 = 265
r = √265

since tanØ is positive, Ø would be in I or III

in I, tanØ = 12/11 , sinØ = 12/√265
in III tanØ = 12/11, sinØ = -12/√265