^2(1-sin^(2)theta')sec^(2)theta=1" Rrove thest't "

Prove that (1-sin^(2)theta)sec^(2)theta=1

Show that: (a) (1-sin^(2)theta)sec^(2)theta=1 (b) (1+tan^(2)theta)cos^(2)theta=1

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

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

If 1/(sin^(2)theta)-1/(cos^(2) theta)-1/(tan^(2)theta)-1/(cot^(2)theta)-1/(sec^(2)theta)-1/(cosec^(2)theta)=-3 then find the value of theta .

Prove the following identity: ((1)/(sec^(2)theta-cos^(2)theta)+(1)/(cos ec^(2)theta-sin^(2)theta))sin^(2)theta cos^(2)theta=(1-sin^(2)theta cos^(2)theta)/(2+sin^(2)cos^(2)theta)

(sec^2 theta-1)/(sec^2 theta)- sin^2 theta=

tan theta= A) (sqrt(1-sin^(2)theta))/(sin theta) , B) (1)/(sec theta) , C) (sin theta)/(sqrt(1-sin^(2)theta)) D) (1)/(sqrt(1+Cot^(2)theta)

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