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Question: Answered & Verified by Expert
If y=tan-111+x+x2+tan-11x2+3x+3+tan-11x2+5x+7+....+ upto 2n terms x0, then y0 is
MathematicsInverse Trigonometric FunctionsJEE Main
Options:
  • A tan-1n
  • B tan-12n
  • C 2tan-1n
  • D 0
Solution:
2256 Upvotes Verified Answer
The correct answer is: tan-12n
y=tan-111+x+x2+tan-11x2+3x+3+...+2n terms
=tan-1x+1-x1+x1+x+tan-1x+2-x+11+x+1x+2+......2terms
=tan-1x+1-tan-1x+tan-1x+2-tan-1x+1+...+tan-1x+2n-tan-1x+2n-1
=tan-1x+2n-tan-1x
y0=tan-12n

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