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Sir please explain its soulution in detail.i know its simple but i am stuck

Sir please explain its soulution in detail.i know its simple but i am stuck
 

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Grade:12

1 Answers

Phanindra
226 Points
5 years ago
First qiestion is   Tan^{-1} 2x/1-x^2....
Now put x = tan\Theta...
So \Theta = tan^{-1}x................(1).....
So the qiestion becomes....
tan^{-1}(2tan\Theta/1- tan^{2}\Theta )
That is....tan^{-1}(tan2\Theta)...
That is...2 \Theta... = 2tan^{-1}x...  from (1)... 
Hope you have understood it...

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