Given: x + 1 x = 2 cos ⁡ ( cos ⁡ θ )Prove: x...

riwayatcbt

riwayatcbt

Answered

2022-11-25

Given:
x + 1 x = 2 cos ( cos θ )
Prove:
x n + 1 x n = 2 cos ( cos ( n θ ) )

Answer & Explanation

Bria Mccoy

Bria Mccoy

Expert

2022-11-26Added 11 answers

When x R 0 we have that x + 1 x ] , 2 ] [ 2 , + [. On the other hand, 2 cos ( cos θ ) [ 2 cos 1 , 2 ]. So, the only way that you can have x + 1 x = 2 cos ( cos θ ) is with x = 1 and cos θ = 0
However, even for x = 1 and cos θ = 0, the statement does not hold for every n.

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