Simplify: `(sin 8theta cos theta - sin 6theta cos 3theta)/(cos 2theta cos theta - sin 3theta sin4theta)`

Simplify: (sin8 theta cos theta-sin6 theta cos3 theta)/(cos2 theta cos theta-sin3 theta sin4 theta)

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

If theta=7.5^(@) Find the value of quad sin8 theta*cos theta-sin6 theta cos3 thetacos2 theta*cos theta-sin3 theta*sin4 theta

Simplify: (sin^(3) theta + cos^(3) theta)/(sin theta + cos theta) + sin theta cos theta

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

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

Prove that ( cos theta + cos 2 theta + cos 3 theta + cos 4 theta)/(sin theta + sin 2 theta + sin 3 theta + sin 4 theta)= cot ""(5theta)/(2).