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Principal Value of Inverse Trigonometric Functions

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Considering only the principal values of inverse trigonometric functions,the number of positive real values of "x" satisfying tan^(-1)(x)+tan^(-1)(2x)=(pi)/(4) is

If we consider only the principal value of the inverse trigonometric functions then the value of tan (cos^-1 (1/sqrt(2))-sin^-1 (4/sqrt(17)) is (A) sqrt(29)/3 (B) 29/3 (C) sqrt(3)/29 (D) - 3/5

Derivatives of Inverse Trigonometric Functions

The least numerical value, either positive or negative of angle theta is called principal value of the inverse trigonometric function.

Read the following text and answer the following questions on the basis of the same : The value of an inverse trigonometric functions which lies in the range of Principal branch is called the principal value of that inverse trigonometric functions. Principal value of tan^(-1)(-1/sqrt3)

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