If `theta = 45^0`, then :
(i) `tan^2 theta + 1/(sin^2 theta)`
(ii) `cos^2 theta - sin^2 theta`

if theta = 45^0 then tan^2 theta + 1/(sin^2 theta)

Prove that : (1 - tan^(2) theta)/(1 + tan^(2) theta) = cos^(2) theta - sin^(2) theta

(i) tan3 theta tan7 theta + 1 = 0 (ii) sin ^ (2) theta = sin ^ (2) alpha

Show that none of the following is an identity: (i) cos^(2) theta + cos theta =1 " " (ii) sin^(2) theta + sin theta =2 " " (iii) tan^(2) theta + sin theta = cos^(2) theta

Prove each of the following identities : (cos theta) /((1- tan theta)) - (sin^(2) theta)/((cos theta - sin theta)) = (cos theta + sin theta)

((sin theta-2 sin^3 theta)/(2 cos^3 theta- cos theta))^2-1, theta ne 45^@ , is equal to: ((sin theta-2 sin^3 theta)/(2 cos^3 theta- cos theta))^2-1, theta ne 45^@ का मान किसके बराबर है ?

(sin5 theta-2sin3 theta + sin theta) / (cos5 theta-cos theta) = tan theta