If `tan^(2)theta=1-e^(2)`, then prove that `sectheta+tan^(3)theta"cosec"theta=(2-e^(2))^((3)/(2)).`

"cosec" theta =1/2

tan^(2) theta-sec^(2) theta=….

Show that cot theta +tan theta =sec theta cosec theta

If tantheta=1/(sqrt7) , show that (cosec^(2)theta-sec^(2)theta)/(cosec^(2)theta+sec^(2)theta)=3/4

If sintheta + sin^(2)theta = 1 , prove that cos^(2)theta + cos^(4)theta = 1

If tan^(4)theta +tan^(2) theta = 1 , then the value of cos^(4)theta +cos^(2)theta is-

Show that tan ^(2) theta +tan ^(4) theta =sec ^(4) theta -sec ^(2) theta

If msintheta=nsin(theta+2alpha) , then prove that tan(theta+alpha)cotalpha=(m+n)/(m-n) .

If sintheta+sin^2theta=1, then prove that cos^(12)theta+3cos^10theta+3cos^8theta+cos^6theta+2cos^4theta+2cos^2theta-2=1

If tan theta = sqrt2-1 then tan (2theta)=1 .