Question

If cosec theta= underoot5 and theta is less than 90°, find the value of cot theta- cos theta​

Answer 1

Step-by-step explanation:

use the identity

$1 + {cot}^{2 } \alpha = { \csc( \alpha ) }^{2}$

cot^2@=5-1

cot^2@=4

cot@=+2 or -2

as @ lies in 1st quadrant cot@ is positive