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If 3tan-1 x+cot-1x=π .Then x equals

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If 3tan-1 x+cot-1x=π .Then x equals

Posted by Sumit Kumar 4 years, 3 months ago

CBSE > Class 12 > Mathematics

2 answers

Anjali ? 4 years, 3 months ago

3 (tan^-1)x+(cot^-1)x=π 2(tan^-1)x+(tan^-1)x+(cot^-1)x=π 2(tan^-1)x+π/2=π 2(tan^-1)x=π/2 (tan^-1)x=π/4 X=1

0Thank You

Sumit Malviya 4 years, 3 months ago

We can write it as . 2tan-1x+tan-1x + cot-1x=π Now,we know tan-1x+cot-1x=π÷2 So 2tan-1x+π÷2= π 2tan-1x=π÷2 tan-1x=π Putting (tan-1 0 =π tan-1x=tan-1 0 On comparing (x=0)

2Thank You

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