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Matrix Matching : If $\cos 3 θ = a_{0} + a_{1} \cos θ + a_{2} \cos^{2} θ + a_{3} \cos^{3} θ$
then match the following:

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$a_{0} =$

$a_{1} =$

$a_{3} =$

$a_{1} + a_{3} + 2 =$

$- 4$

answer is A, , , .

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Detailed Solution

$\cos 3 θ = 3 \cos θ - 4 \cos^{3} θ$

$a_{0} = 0; a_{1} = 3; a_{2} = 0; a_{3} = - 4$

$a_{1} + a_{3} + 2 = 3 - 4 + 2 = 1$

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