Let \( I_{n}=\int_{0}^{\pi / 4} \tan ^{n} x d x \) where \( n \in N \). STATEMENT-1: \( \quad \i...

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Let \( I_{n}=\int_{0}^{\pi / 4} \tan ^{n} x d x \) where \( n \in N \).
STATEMENT-1: \( \quad \int_{0}^{\pi / 4} \tan ^{4} x \mathrm{dx}=\frac{3 \pi-8}{12} \)
because
STATEMENT-2: \( \quad l_{n}+l_{n-2}=\frac{1}{n-1} \)
(a) Sratement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
(b) Statement-1 is True, Statement-2 is True; Statement-2 is Not a correct explanation for Statement-1
(c) Statement-1 is True, Statement-2 is False
(d) Statement-1 is False, Statement-2 is True
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