CUET and UG exam AP EAPCET Engineering Mock Test Series 2025 Mathematics Trigonometry Inverse Trigonometric Functions
Simplest form of tan-1 \(\left( {\frac{{\sqrt {1 + \cos x} + \sqrt {1 - \cos x} }}{{\sqrt {1 + \cos x} - \sqrt {1 - \cos x} }}} \right)\), π < x < \(\frac{3\pi}{2}\) is :
1
\(\frac{\pi }{4} - \frac{x}{2}\)
2
\(\frac{{3\pi }}{2} - \frac{x}{2}\)
3
\(- \frac{x}{2}\)
4
\(\pi - \frac{x}{2}\)