Question

if cot C = 9/11 find cosec C/1+cot c​

Answer 1

$\cot(c) = \frac{9}{11}$

cot C = cos C / sin C

$\cos(c) = 9$

$\sin(c) = 11$

Solving,

$\frac{ \cosec(c) }{1 + \cot(c) }$

$= \frac{ \frac{1}{ \sin(c) } }{1 + \frac{9}{11} }$

$= \frac{ \frac{1}{11} }{1 + \frac{9}{11} }$

$= \frac{ \frac{1}{11} }{ \frac{11 + 9}{11} }$

$= \frac{1}{11} \times \frac{11}{20}$

$= \frac{1}{20}$