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  • Provide Solution For R.D.Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions Exercise Multiple Choice Questions Question 16 Maths Textbook Solution.

Provide Solution For R.D.Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions Exercise Multiple Choice Questions Question 16 Maths Textbook Solution.

Answers (1)

Answer: None of these

Hint:\tan ^{-1} x+\tan ^{-1} y=\tan ^{-1}\left(\frac{x+y}{1-x y}\right)

Given: \tan ^{-1} \frac{1}{11}+\tan ^{-1} \frac{2}{11}=?

Solution:

\tan ^{-1} \frac{1}{11}+\tan ^{-1} \frac{2}{11}=\left(\frac{\frac{1}{11}+\frac{2}{11}}{1-\left(\frac{1}{11}\right)\left(\frac{2}{11}\right)}\right)

                                         =\tan ^{-1}\left(\frac{\frac{3}{11}}{\frac{119}{121}}\right)

                                         \begin{aligned} &=\tan ^{-1}\left(\frac{33}{119}\right) \\ &=0.27 \end{aligned}

                                          

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