Prove that the distance of the point (a sin theta +b cos theta, a cos theta - b sin theta) from the origin is independent of the value of theta This question has not been answered yet! Don't worry! You can check out similar questions with solutions below ... the distance between the points (b sin theta, - b cos theta ... what is the distance between the points A(sin theta-costheta ... (cos theta- sin theta +1)/(cos theta+sin theta -1)if cos theta - sin theta =1 , cos theta +sin theta =?prove sin square theta/cos theta + sin theta = 1/cos theta