Most Important Selected Qs for JEE AdvancedMathematicsInverse Trigonometric Functions

Let _ =1 ^ ⁻¹ ( k ^2 8 )=- , I then the value of is equal to

Correct answer

Step-by-step solution

aligned & T_k= ⁻¹ ( 8 k^2 )= ⁻¹ ( 2 k^2 4 )= ⁻¹ [ 2 1+ ( k^2 4 -1 ) ] & = ⁻¹ [ ( k 2 +1 )- ( k 2 -1 ) 1+ ( k 2 +1 ) ( k 2 -1 ) ] & = ⁻¹ [ k 2 +1 ]- ⁻¹ [ k 2 -1 ] aligned

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