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Question: Answered & Verified by Expert
2π-sin-145+sin-1513+sin-11665 is equal to :
MathematicsInverse Trigonometric FunctionsJEE MainJEE Main 2020 (03 Sep Shift 1)
Options:
  • A π2
  • B 5π4
  • C 3π2
  • D 7π4
Solution:
2180 Upvotes Verified Answer
The correct answer is: 3π2

sin-145+sin-1513+sin-11665

=tan-143+tan-1512+tan-11663

=tan-143+5121-43·512+tan-11663

=tan-16316+tan-11663=π2

∴2π-π2=3π2

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