NDA 2012
- Exam
- NDA
- Year
- 2012
- Subject
- Mathematics
- Chapter
- Inverse Trigonometric Functions
NDA 2012 · Mathematics · Inverse Trigonometric Functions
What is [ ^ -1 ((3)/(4))+ ^ -1 ((4)/(5))]equal to?
What is
Options
- A
- B
- C
- D
Correct answer
C.
Step-by-step solution
\sin \left[\sin ^{-1}\left(\frac{3}{5}\right)+\sin ^{-1}\left(\frac{4}{5}\right)\right]=\sin \left[\sin ^{-1}\left(\frac{3}{5}\right)+\cos ^{-1}\left(\frac{3}{5}\right)\right]\left[\because \sin ^{-1} x+\cos ^{-1} x=\frac{\pi}{2}\right]=\sin \left[\frac{\pi}{2}\right]=1