If : `sin^(2)theta+sin^(4)theta=1, "then": cot^(2)theta+cot^(4)theta=`

If sin theta = 1/2, then cot theta …………

If sin^2theta=cos^3theta prove that, cot^6theta-cot^2theta=1 .

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

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

(cosec theta+sin theta)(cosec theta-sin theta)=cot^(2)theta+cos^(2)theta

Prove each of the following identities : (1+ tan^(2) theta)(1+ cot^(2) theta)=(1)/((sin^(2) theta- sin^(4) theta))

Solve sin^(2)theta tan theta+cos^(2)theta cot theta-sin2 theta=1+tan theta+cot theta

If (sin^(3)theta-cos^(3)theta)/(sin theta-cos theta)-(cos theta)/(sqrt(1+cot^(2)theta))-2 tan theta cot theta=-1 (AA theta in[0, 2pi], then

If (sin^(3)theta-cos^(3)theta)/(sin theta-cos theta)-(cos theta)/(sqrt(1+cot^(2)theta))-2 tan theta cot theta=-1 (AA theta in[0, 2pi], then

(sin theta" cosec "theta tan theta cot theta)/(sin^(2)theta+cos^(2)theta)