If $\tan ^{-1}\left(\frac{2}{3^{-x}+1}\r

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

If $\tan ^{-1}\left(\frac{2}{3^{-x}+1}\right)=\cot ^{-1}\left(\frac{3}{3^x+1}\right)$, then which one of the following is true?

Options:

There is no real value of x safisfying the above equation.

There is one positive and one negative real value of x satisfying the above equation.

There are two real positive values of x satisfying the above equation.

There are two real negative values of x satisfying the above equation.

Correct Answer:

There is no real value of x safisfying the above equation.

Explanation:

The correct answer is Option (1) → There is no real value of x safisfying the above equation.