Express `(sin 4 theta)/(sin theta)` in terms of `cos^(3)theta, cos theta`.

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

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

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

( sin 3 theta )/( sin theta ) -(cos 3 theta )/( cos theta )=

(sin 3theta)/(sin theta)-(cos 3theta)/(cos theta)=

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

((cos theta - cos 3 theta ) ( sin 8 theta + sin 2 theta ))/(( sin 5 theta - sin theta )( cos 4 theta - cos 6 theta ))=

Show that ((cos theta - cos 3 theta) (sin 8 theta + sin 2 theta))/((sin 5 theta - sin theta) (cos 4 theta- cos 6 theta))=1

(sin theta+cos theta)(1-sin theta cos theta)=sin^3 theta+cos^3 theta

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