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$\tan (\frac{π}{4} + \frac{1}{2} \cos^{- 1} x) + \tan (\frac{π}{4} - \frac{1}{2} \cos^{- 1} x), x \neq 0$ is equal to

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Correct option is C

Let cos–1x = θ, then the given expression=1+tan⁡θ21−tan⁡π2+1+tan⁡θ21+tan⁡θ2=21+tan2⁡θ21−tan2⁡θ2=2cos⁡θ=2x

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tan⁡π4+12cos−1⁡x+tan⁡π4−12cos−1⁡x,x≠0 is equal to

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$\tan (\frac{π}{4} + \frac{1}{2} \cos^{- 1} x) + \tan (\frac{π}{4} - \frac{1}{2} \cos^{- 1} x), x \neq 0$ is equal to