jee-main 2022 Q72

jee-main · India · session1_25jun_shift2 Reciprocal Trig & Identities
The value of $\tan^{-1}\left(\frac{\cos\frac{15\pi}{4} - 1}{\sin\frac{\pi}{4}}\right)$ is equal to
(1) $-\frac{\pi}{4}$
(2) $-\frac{\pi}{8}$
(3) $-\frac{5\pi}{12}$
(4) $-\frac{4\pi}{9}$
The value of $\tan^{-1}\left(\frac{\cos\frac{15\pi}{4} - 1}{\sin\frac{\pi}{4}}\right)$ is equal to\\
(1) $-\frac{\pi}{4}$\\
(2) $-\frac{\pi}{8}$\\
(3) $-\frac{5\pi}{12}$\\
(4) $-\frac{4\pi}{9}$