`sin theta+cos theta=a" and "tan theta+cot theta=b," then "^(b(a^(2)-1))=`

If sin theta+cos theta=a,tan theta+cot theta=b, show that (a^(2)-1)/(2)=(1)/(b)

If tan theta-cot theta=alpha and sin theta+cos theta=b then (b^(2)-1)^(2)(a^(2)+4) is

If tan theta-cot theta=a and sin theta+cos theta=b ,then (b^(2)-1)^(2) . (a^(2)+4)=

tan theta-cot theta=a and sin theta+cos theta=b(b^(2)-1)^(2)(a^(2)+4)

If tan theta+cot theta=2 then sin theta+cos theta=

If tantheta - cot theta =a and cos theta - sin theta =b , then value of (a^(2) + 4) (b^(2) -1)^(2) is:

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

If tan theta=(a)/(b), prove that (a sin theta-b cos theta)/(a sin theta+b cos theta)=(a^(2)-b^(2))/(a^(2)+b^(2))

If tan theta=(a)/(b), show that (a sin theta-b cos theta)/(a sin theta+b cos theta)=(a^(2)-b^(2))/(a^(2)+b^(2))

If sin theta,cos theta and tan theta are in G.P.then cot^(6)theta-cot^(2)theta is equal to