Mathematics Trigonometry Inverse Trigonometric Functions

Find the value of x, if \(\rm \cot^{-1}\left({x-2\over x-4}\right)-\tan^{-1}\left({x+2\over x+4}\right)= {\pi\over4}\)

1
1
2
√2
3
√2 - 1
4
√2 + 1

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