[" 1.Prove that "],[" i) "sin3 theta=3sin theta-4sin^(3)theta],[" ii) "cos3 theta=4cos^(3)theta-3cos theta]

Taking theta=30^(@) , verify each of the following (i) sin 3theta=3sin theta -4sin^(3) theta (ii) cos3 theta=4cos^(3)theta-3cos theta

cos^(3)theta sin 3theta + sin^(3)theta cos3theta=3/4

Prove that: sin4 theta=4 sin theta cos^(3)theta-4cos theta sin^(3)theta

(3sin theta-sin3 theta)/(3cos theta+cos3 theta)=

Solve sqrt(3)cos theta-3sin theta=4sin2 theta cos3 theta

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

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

Prove that : (2 cos^(3) theta-cos theta)/(sin theta-2 sin^(3)theta)=cot theta

Prove that : (2 cos^(3) theta-cos theta)/(sin theta-2 sin^(3)theta)=cot theta

(sin theta+sin3 theta+sin5 theta)/(cos theta+cos3 theta+cos5 theta)=tan3 theta