If 𝑓𝑥=2 𝑡𝑎𝑛−1 𝑥+𝑠𝑖𝑛−12𝑥1+𝑥2,𝑥 1, then 𝑓(5) is equal to

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If f(x)=2 〖tan〗^(-1) x+〖sin〗^(-1) (2x/(1+x^2 )),x 1, then f(5) is equal to
(a) π/2 (b) π
(c) 4 〖tan〗^(-1) (5) (d) 〖tan〗^(-1) (65/156)

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