Test Academy | Considering the principal values of inverse trigonometric functions, the positive real values of ‘x’ satisfying tan -1 (x) + tan -1 (2x) = π 4 is : (-1 +√5)/2, (3 + √17)/4, (-3 + √17)/4, (1 + √5)/2

Question

Considering the principal values of inverse trigonometric functions, the positive real values of ‘x’ satisfying tan^-1(x) + tan^-1(2x) = $\frac{π}{4}$ is :

Options :

(-1 +√5)/2
(3 + √17)/4
(-3 + √17)/4
(1 + √5)/2

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