Express `(cos theta - sin theta)` as a cosine of an angle.

Express (cos theta - sin theta)" in the form " r cos (theta+ alpha) and (sqrt 3sin theta + cos theta) " in the form r" sin(theta + beta).

Express cos theta , cot theta , tan theta in terms of sin theta .

Express (1-costheta+sin theta)/(1+cos theta + sin theta) in terms of tan theta//2 .

Express sin theta , cos theta , tan theta in terms of cosec theta .

Express sin theta , cos theta , cot theta in terms of sec theta .

The expression cos 3 theta + sin 3 theta + (2 sin 2 theta-3) (sin theta- cos theta) is positive for all theta in

The expression cos 3 theta + sin 3 theta + (2 sin 2 theta-3) (sin theta- cos theta) is positive for all theta in

The expression cos 3 theta + sin 3 theta + (2 sin 2 theta-3) (sin theta- cos theta) is positive for all theta in

Express (sin4 theta)/(sin theta) in terms of cos^(2)theta and cos theta

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