Question

If $x,yϵ(0,\frac{\pi }{2})$ and $(cosx{)}^{siny+\frac{1}{siny}}=tanz,$ then z can lie in

• A. $(0,\frac{\pi }{2})$
• B. $(\frac{\pi }{2},\pi )$
• C. $(\pi ,\frac{3\pi }{2})$
• D. $(\frac{3\pi }{2},2\pi )$

Answer 1

Answer: (A), (C)

The correct options are
A

$(0,\frac{\pi }{2})$

C

$(\pi ,\frac{3\pi }{2})$

L.H.S > 0 and hence R.H.S > 0