यदि `cos theta + sin theta =1 "तब सिद्ध करें " cos theta - sin theta = pm 1`.

If cos theta + sin theta =1 , prove that cos theta - sin theta = pm 1.

If 5 cos theta -12 sin theta =0 , the value of (2 sin theta +cos theta )/(cos theta - sin theta ) यदि 5 cos theta -12 sin theta =0 , है, तो (2 sin theta +cos theta )/(cos theta - sin theta ) का मान ज्ञात करें |

If (2 sin theta )/(1+ cos theta + sin theta )=x, find the value of (1- cos theta + sin theta )/(1+ sin theta )

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

(1+ sin theta - cos theta )/( 1+ sin theta + cos theta ) + (1+ sin theta + cos theta )/( 1+ sin theta - cos theta ) =

(1 + cos theta + sin theta) / (1 + cos theta-sin theta) = (1 + sin theta) / (cos theta)

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

Evaluate the following determinants: (b) |(cos theta, -sin theta),(sin theta, cos theta)| = cos theta (cos theta) - sin theta(-sin theta) = cos^(2) theta + sin^(2) theta = 1