The value of ^ -1 ( ( 15 4 )-1 ( 4 ) ) is equal to
Mathematics · JEE Main · NTA Exams — Trigonometry
The value of \[\tan ^{-1}\left(\frac{\cos \left(\frac{15 \pi}{4}\right)-1}{\sin \left(\frac{\pi}{4}\right)}\right)\] is equal to
- \(-\frac{\pi}{4}\)
- \(-\frac{\pi}{8}\)
- \(-\frac{5 \pi}{12}\)
- \(-\frac{4 \pi}{9}\)
Answer
(A) - 4
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