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Question: Answered & Verified by Expert
The value of tan2tan-135+sin-1513 is equal to:
MathematicsInverse Trigonometric FunctionsJEE MainJEE Main 2021 (20 Jul Shift 2)
Options:
  • A -18169
  • B 22021
  • C -29176
  • D 15163
Solution:
2314 Upvotes Verified Answer
The correct answer is: 22021

We have,

tan2tan-135+sin-1513

=tantan-135+tan-135+sin-1513

=tantan-135+351-925+sin-1513

=tantan-1158+tan-1512

=tan-1158+5121-158·512=tan-122021

=tantan-122021=22021

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