Show that `(cosec theta -cot theta )^(2) =(1-cos theta )/( 1+cos theta ) `

(1+cosec theta - cot theta)/(1+cosec theta + cot theta)=

Prove that (cot theta -cos theta )/( cot theta +cos theta ) =(cos ec theta -1)/( cosec theta +1)

Show that (1 + cos theta)/(sin theta)+ (sin theta)/(1 + cos theta) = 2 cosec theta .

Show that (1 + sin theta)/ cos theta + cos theta / (1 + sin theta) = 2 sec theta

If n is an integer then show that (1 + cos theta + i sin theta)^(n) + (1 + cos theta - i sin theta )^(n) = 2^(n+1) cos ^(n) ( theta//2) cos ((n theta)/2) .

If cosec theta + cot theta = 1//3 then cosec theta - cot theta =

(sin^(2) theta )/(1- cot theta )+(cos^(2) theta )/( 1- tan theta ) =

(cos theta)/(1 - tan theta) + (sin theta)/(1 - cot theta) =……...

Show that Tan^2 theta / (1 + Sec theta) = (1 - Cos theta )/Cos theta

If x=a("cosec" theta + cot theta ) , y=b( " cosec " theta - cot theta ) , then