If \( f(x)=x^{11}+x^{9}-x^{7}+x^{3}+1 \) and \( f\left(\sin ^{-1}(\sin 8)\right)=\alpha \), wher...
If \( f(x)=x^{11}+x^{9}-x^{7}+x^{3}+1 \) and \( f\left(\sin ^{-1}(\sin 8)\right)=\alpha \), where \( \alpha \) is a constant, then \( f\left(\tan ^{-1}(\tan 8)\right) \) is equal to
(1) \( \alpha \)
(2) \( \alpha-2 \)
(3) \( \alpha+2 \)
(4) \( 2-\alpha \)
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