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(i) `Sin^2theta + Cos^2theta` = .....
( ii ) inverse of `Sintheta . Cottheta ` = .....

If sintheta - cos theta = sqrt(2)cos theta , then the value of sintheta + cos theta is:

Evaluate : ( Cos^2theta - Sin^2theta ) / ( ( Costheta - Sintheta )^2

Evaluate : ( Cos^2theta - Sin^2theta ) / ( ( Costheta - Sintheta )^2

Evaluate : ( Cos^3theta + Sin^3theta ) / ( Costheta + Sintheta ) + ( Cos^3theta - Sin^3theta ) / ( Costheta - Sintheta )

(sintheta + cos theta)(tan theta + cottheta) =

Show that none of the following is an identity: (i) cos^(2) theta + cos theta =1 " " (ii) sin^(2) theta + sin theta =2 " " (iii) tan^(2) theta + sin theta = cos^(2) theta

If theta = 45^0 , then : (i) tan^2 theta + 1/(sin^2 theta) (ii) cos^2 theta - sin^2 theta

If sintheta+costheta=1/2 then find the value of 16(sin2theta+cos4theta+sin6theta)

If sintheta+sin^(2)theta=1 , then find the value of cos^(2)theta+cos^(4)theta .

Prove each of the following identities : (i) (sin theta - cos theta)/(sin theta + cos theta) + ( sin theta+ cos theta)/(sin theta - cos theta) = (2)/((2 sin^(2) theta -1)) (ii) (sin theta + cos theta ) /(sin theta - cos theta) + ( sin theta - cos theta) /(sin theta + cos theta) = (2) /((1- 2 cos^(2) theta))