(b) `cosec theta=1+cot theta`

prove that (cosec theta + cot theta)/(cosec theta- cot theta) = (cosec theta +cot theta)^2

If pi lt theta lt 2pi then sqrt ((1+cos theta)/(1-cos theta))= a. cosec theta+cot theta , b. cosec theta - cot theta , c. cot theta-cosec theta , d. -cosectheta - cot theta

prove that 1/(cosec theta-cot theta) - 1/(sin theta) = 1/sin theta - (1)/(cosec theta + cot theta)

If 5 costheta = 3 , then ( "cosec "theta+cot theta)/(" cosec " theta- cot theta) is equal to

x = a cosec theta + b cot theta and y= a cosec theta - b cot theta show that [ (x+y)/a ]^2 -[ (x-y)/b]^2 =4

If cosec theta + cot theta = p prove that cos theta = p2-1 / p2 + 1

If sec theta = sqrt(2) and (3pi)/2 lt theta lt 2pi , find the value of (1+tan theta + cosec theta)/(1-cot theta - cosec theta) .

If cos theta = 3/5 and theta lies in the fourth quadrant, find the value of cosec theta + cot theta.

If 7(cosectheta -1) = 3cottheta , shown that 3( cosec theta +1) = 7 cot theta .

If cosec theta- cot theta=1/2, 0 < theta < pi/2 then cos theta= a.5/3, b. 3/5, c.-3/5, d. -5/3