Show that`tan^2theta+cot^2thetage2`for all `theta in R`

Show that 1-2sinthetacosthetage0 for all theta in R

Which of the following sentenced are statements in logic ? Justify. Write down the truth values of the statements : cos^2theta-sin^2theta = cos^2theta for all theta in R .

If sqrt3 tan theta = 3 sin theta , find the value of sin theta^2 theta - cos^2 theta , where theta ne 0 .

Prove the following : cot^2 theta - tan^2 theta = cosec^2 theta -sec^2 theta

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

(1 - cos^(2)theta)cot^(2)theta

If tantheta=t then tan2theta+sec2theta=

Prove : cot^(2) theta-tan^(2)theta=cosec^(2)theta-sec^(2)theta

If tan theta+tan 2theta+tan 3theta = tantheta tan 2theta tan 3theta then the general value of theta is