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Let $V$ denote the vector space of real valued continuous functions on the closed interval $[0,1]$. Let $W$ be the subspace of $V$ spanned by $\{\sin (x), \cos (x), \tan (x)\}$. Then the

dimension of $W$ over $\mathbb{R}$ is

1. 1

2. 2

3. 3

4. infinite
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