If theta is an acute angle and tan theta + cot theta = 2 , then value of tan^7 theta + cot^7 theta is ?

Given :  tan θ + cot θ = 2

Thus, tan⁷θ + cot⁷θ = tan⁷45° + cot⁷45° = (tan 45°)⁷ + (cot 45°)⁷= 1⁷ + 1⁷ = 1 + 1 = 2