Properties of Inverse Trigonometric Functions
Properties of Inverse Trigonometric Functions
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Numerical : Prove that 2 tan -1 ½ + tan -
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1 / 7 = tan -1 31 / 17 Solution : LHS = 2 tan -1 ½ + tan -1 1 / 7 = tan -1 [ ( 2 * ½ )/ 1- ( 1 / 2 ) 2 )] + tan -1 1 / 7 = tan -1 ( 4 / 3 ) + tan -1 1 / 7 = tan -1 [( 4 / 3 + 1 / 7 )/( 1 – 4 / 3 * 1 / 7 ] = tan -1 [ 31 / 17 ] = RHS