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  • Need solution for RD Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions Excercise Fill in the Blanks Question 9

Need solution for RD Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions Excercise Fill in the Blanks Question 9

Answers (1)

Answer:

                0

Hint:

You must know the rules of inverse trigonometric function.

Given:

\cot\left ( \tan^{-1} x+\cot^{-1}x\right ) for all x\: \epsilon \: R

Solution:

              = \cot\left ( \tan^{-1} x+\cot^{-1}x\right )

\Rightarrow         = \cot\left ( \frac{\pi}{2} \right )                                                                                                         \left [ \because \tan^{-1}x+\cot^{-1}x=\frac{\pi}{2} \right ]

\Rightarrow         = \cot\left ( 90^{\circ} \right )

\Rightarrow         = 0

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