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If Sₙ = cosⁿ θ + sinⁿ θ, then the value of 3S₄ - 2S₆ is

1. 4
2. 0
3. 1
4. 7

Correct answer: 1

Solution

The expression for Sₙ can be simplified using the identity for cosⁿ θ + sinⁿ θ, leading to specific values for S₄ and S₆. By substituting these values into the equation 3S₄ - 2S₆, we find that it evaluates to 1.

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