`(tan^(2)theta)/(sec theta+1)=`

1+(tan^(2)theta)/((1+sec theta))=sec theta

(1+tan^(2)theta)/(sec^(2)theta)=

If (1-tan^(2)theta)/(sec^(2)theta)=(1)/(2) then the general value of theta is

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

Prove each of the following identities : (i) 1+ (cot^(2) theta)/((1+ "cosec"theta))= "cosec" theta (ii) 1+ (tan^(2) theta)/((1+ sec theta))= sec theta

Prove: (tan theta)/(sec theta-1)=(tan theta+sec theta+1)/(tan theta+sec theta-1)

(tan theta)/(sec theta-1)+(tan theta)/(sec theta+1)=2cos ec| theta

(1+tan^(2)theta)=sec^(2)theta

If: tan^(2) theta + sec 2theta =1 , then the general value of theta is

The determinant |(sec^(2)theta, tan^(2)theta,1),(tan^(2)theta, sec^(2)theta, -1),(12,10,2)| equals