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