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  • Need Solution for R .D .Sharma Maths Class 12 Chapter 3 Inverse Trigonomeric Functions Exercise Multiple Choice Questions Question 45 Maths Textbook Solution.

Need Solution for R .D .Sharma Maths Class 12 Chapter 3 Inverse Trigonomeric Functions Exercise Multiple Choice Questions Question 45 Maths Textbook Solution.

Answers (1)

Answer: 1

Hint: Let separate the cot and tan function and calculate the variables

Given:3 \tan ^{-1} x+\cot ^{-1} x=\pi

Solution:

We have,3 \tan ^{-1} x+\cot ^{-1} x=\pi

              \begin{aligned} &2 \tan ^{-1} x+\left(\tan ^{-1} x+\cot ^{-1} x\right)=\pi \\ &2 \tan ^{-1} x+\frac{\pi}{2}=\pi \\ &2 \tan ^{-1} x=\frac{\pi}{2} \\ &\tan ^{-1} x=\frac{\pi}{4} \\ &x=\tan \frac{\pi}{4} \\ &x=1 \end{aligned}

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