[" (Evaluate) ",lim_(theta rarr(pi)/(2))(cot theta)/((pi)/(2)-theta)],[,theta]

lim_(x rarr(pi)/(2))(1-sin theta)/(((pi)/(2)-theta)cos theta)=

lim_(theta rarr(pi)/(2))(sec theta-tan theta)/(pi-2 theta)

Prove that lim_(theta rarr(pi)/(2))(2cos theta)/(pi-2 theta)=1

lim_(theta rarr pi/2) (1-sin theta )/((pi/2 - theta) cos theta)=

lim_(theta rarr pi/2)(sec theta-tan theta)/(pi-2 theta)

lim_(theta rarr(pi)/(4))(1-tan theta)/(1-sqrt(2)sin theta)

lim_(theta rarr(pi)/(6))(4cos^(2)theta-3)/(2sin theta-1)

Given that lim_(theta rarr 0) (sin theta)/theta = 1 and lim_(theta rarr 0) cos theta = 1 Evaluate lim_(theta rarr pi/2) (cot theta)/(pi/2 - theta)

lim_(theta rarr0)cot theta-csc theta

The value of lim_(theta rarr(pi)/(2))(sec theta-tan theta) equals