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  • Need solution for RD Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions Excercise Fill in the Blanks Question 33

Need solution for RD Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions Excercise Fill in the Blanks Question 33

Answers (1)

Answer:

                \pi-\cot^{-1}x

Hints:

You must have know about the rules of inverse functions

 

Given:

                \cot^{-1}\left ( -x \right ) for all x\: \epsilon \: R in terms of \cot^{-1}x is

Solutions:

                Let \cot^{-1}\left ( -x \right )=\theta

                \cot\theta=-x

                \cot\left ( \pi-\theta \right )=x

                \pi-\theta=\cot^{-1}x

                 \theta=\pi-\cot^{-1}x

          \therefore \cot^{-1}\left ( -x \right ) = \pi-\cot^{-1}x  for  x\: \epsilon \: R.

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