इन समीकरण को हल कीजिये `cos theta +sin theta =cos 2theta +sin 2theta `

cos theta+sin theta=cos2 theta+sin2 theta

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

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

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

If cos theta+sin theta=sqrt(2), then cos theta-sin theta=

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

2 cos (theta - pi //2) + 3 sin (theta + pi//2) - (3sin theta + 2 cos theta ) = ? A. cos theta - sin theta B. sin theta - cos theta C. sin theta + cos theta D. cot theta - tan 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))

If 2 - cos^(2) theta = 3 sin theta cos theta , sin theta ne cos theta then tan theta is