[(v)(sin theta+cos theta)^(2)+(sin theta-cos theta)^(2)=2],[(vi)(a sin theta+b cos theta)^(2)+(arcs theta)]

((sin theta+cos theta)^(2)-1)/(sin theta*cos 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))

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

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

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

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

Show that (Sin theta + Cos theta)^2 - (Sin theta - Cos theta)^2 = 4 Sin theta Cos theta

(sin theta + cos theta)/(sin theta - cos theta) + (sin theta - cos theta)/(sin theta + cos theta)= ________

Prove that : (1+sin2 theta-cos 2theta)/(sin theta+cos theta)=2sin theta

If A = [(cos theta, sin theta),(-sin theta, cos theta)] and B = [(sin theta, - cos theta), (cos theta, sin theta)] , evaluate A cos theta + B sin theta .