Question:

If x+1x=2cos⁡θ, then for any integer n,xn+1xn=

Updated On: Jan 8, 2024
  • (A) 2 cos nθ
  • (B) 2 sin nθ
  • (C) 2i cos nθ 
  • (D) 2i sin nθ 
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The Correct Option is A

Solution and Explanation

Explanation:
x+1x=2cos⁡θ Let x=cos⁡θ+1sin⁡θ1x=cos⁡θ−1sin⁡θ Thus xn+1xn=2cos⁡nθ
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