12tan-1 x - cos11 - -1 - x22-1 - x212-

1 2 tan ^ 1 x =cos ^ 1 #10;{ 1+√( 1+ x ^ 2 ) #160; 2√( 1+ x ^ 2 #10;) #160; #160; } #160; ^ 1 #160; 2 #160; #10; #10;R. ...

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Domain and Range of Basic Inverse Trigonometric Functions

12tan-1 x = c...

Question

$\frac{1}{2} {tan}^{- 1} x = {cos}^{1} {\frac{1 + \sqrt{1 + x^{2}}}{2 \sqrt{1 + x^{2}}}}^{\frac{1}{2}}$ .

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