cot theta=(2tandot Y_(2))/(1-tan^(2)dot Y_(2))+then sin3 theta

cot theta=(2tan7(1)/(2^(@)))/(1-tan^(2)7(1)/(2^(@))) then sin3 theta=

If (a cos theta_(1),a sin theta_(1)),(a cos theta_(2),a sin theta_(2)) and (a cos theta_(3),a sin theta_(3)) represent the vertices of an equilateral triangle inscribed in a circle,then (a)cos theta_(1)+cos theta_(2)+cos theta_(3)=0 (b) sin theta_(1)+sin theta_(2)+sin theta_(3)=0(c)tan theta_(1)+tan theta_(2)+tan theta_(3)=0(d)cot theta_(1)+cot theta_(2)+cot theta_(3)=0

Show that (sin^2 theta)/(1-cot theta)+(cos^2 theta)/(1-tan theta )=1+sin theta cos theta

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

If 3cot theta=4 then show that (1-tan^(2)theta)/(1+tan^(2)theta)=(cos^(2)theta-sin^(2)theta)

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

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

Prove that, (cot theta - tan theta)/(1-2 sin ^(2) theta) = sec theta "cosec" theta

Prove that (tan^(3) theta)/(1 + tan^(2) theta) + (cot^(3) theta)/(1+ cot^(2) theta) = sec theta cosec theta - 2 sin theta cos theta

The numerical value of 1/(1+cot^2 theta) + (3)/(1 + tan^2 theta) + 2 sin^2 theta will be