Given tan of theta = -2 and pi/2; find cos(2theta) The identity of cos (2 theta)= Given tan of theta = -2 and pi/2. So, let's plug in tan theta= -2 = (Squaring) = (simplifying) So, cos ( 2 theta) = -3/5. Now we can plug in tan theta = π/2 = (Squaring) = Simplifying So, cos ( 2 theta)= -3/5 and (4-pi^2)/(4+pi^2)