[" 1.Find the sum of first "100" hatur "],[" 2.Prove that: "],[[" (i) "(csc^(2)theta-1)tan^(2)theta=1]]

Find the value of (cosec^(2) theta - 1) tan^(2) theta .

Prove that (cot^(2)theta)/(cosec theta+1)=cosec theta-1

If tan^(2)theta = 3 cosec^(2)theta - 1 then theta =

Prove : cot^(2) theta-tan^(2)theta=cosec^(2)theta-sec^(2)theta

Prove: cot^(2)theta- tan^(2) theta=cosec^(2)theta-sec^(2)theta .

Prove that tan^(2)theta+cot^(2)theta+2=sec^(2)theta cosec^(2)theta

Prove that [(1 + tan^2 theta)cot theta]/(cosec^2 theta) = tan theta

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

Prove that (1+cot theta-cosec theta)(1+tan theta+sec theta)=2

Prove that (i) ("cosec"^(2) theta-1 ) tan^(2) theta =1 " " (ii) (sec^(2) theta -1)(1- "cosec"^(2) theta )=-1