If T_n = sinⁿx + cosⁿx, prove that

24

If a = secx – tanx and b = cosecx + cotx, then show that ab + a – b + 1 = 0.

25

Prove that :

where

26

If T_n = sinⁿx + cosⁿx, prove that

2 T₆ – 3 T₄ + 1 = 0

26

If T_n = sinⁿx + cosⁿx, prove that

6 T₁₀ – 15 T₈ + 10 T₆ – 1 = 0