Question

Sin 90,sec45,cosec30 are in gp then common ratio

Answer 1

Common ratio here will be,

$\frac{ \sec(30) }{ \sin(90) } \\ \\ = \frac{ (\sqrt{2} ) }{1} \\ \\ = \sqrt{2}$


Alternate method,

$\frac{ \csc(30) }{ \sec(45) } \\ \\ = \frac{ 2 }{ \sqrt{2} } \\ \\ = \frac{2 \sqrt{2} }{2} \\ \\ = \sqrt{2}$