`sec^2theta/tantheta=?`

If y=(sec^(2)theta-tantheta)/(sec^(2)theta+tantheta)' then

Prove that : sqrt((1-cos^(2)theta)sec^(2)theta)=tantheta

Statement-1: if thetane2npi+(pi)/(2),n inZ, then (sec^(2)theta+tantheta)/(sec^(2)theta-tantheta)"lies between"1/3 and 3. Statement-2: If x inR, then 1/3le(x^(2)-x+1)/(x^(2)+x+1)le3.

frac(sintheta [(1-tantheta) tan theta+sec^2 theta])((1-sintheta) tantheta(1+tan theta) (sec theta+tantheta)) =?

If sec theta+tan theta=2 , then sec theta-tan theta = ?

If cos theta=-3//5,"where" piltthetalt(3pi//2), "then" : (cssc theta+cot theta)/(sec theta-tantheta)= A) 1//4 B) 1//5 C) 1//6 D)none of these

If tan theta + sec theta = n, then sec ^(4) theta - tan ^(4) theta- 2 sec theta tan theta =

Prove the following identities: (sec-tan theta)/(sec theta+tan theta)=1-2sec theta tan theta+2tan^(2)theta