Download MARKS App - Trusted by 15,00,000+ IIT JEE & NEET aspirants! Download Now
Search any question & find its solution
Question: Answered & Verified by Expert
\( 2 \pi-\left(\sin ^{-1} \frac{4}{5}+\sin ^{-1} \frac{5}{13}+\sin ^{-1} \frac{16}{65}\right) \) is equal to :
MathematicsInverse Trigonometric FunctionsJEE Main
Options:
  • A \( \frac{\pi}{2} \)
  • B \( \frac{5 \pi}{4} \)
  • C \( \frac{3 \pi}{2} \)
  • D \( \frac{7 \pi}{4} \)
Solution:
2089 Upvotes Verified Answer
The correct answer is: \( \frac{3 \pi}{2} \)

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

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.