Simplify the following term
`sin^3theta+cos^3theta`

Prove the following identities: (sin^(3)theta+cos^(3)theta)/(sin theta+cos theta)+sin theta cos theta=1

Simplify sin^8theta-cos^8theta

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

Prove each of the following identities : (cos^(3) theta + sin^(3) theta)/(cos theta + sin theta ) + (cos^(3) theta - sin^(3) theta)/(cos theta - sin theta ) = 2

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

Simplify: cos theta[cos theta sin theta-sin theta cos theta]+sin theta[sin theta-cos theta cos theta sin theta]

Prove the following: "sin" theta+"sin" 3theta+"sin" 5theta+"sin" 7theta=4 cos theta cos 2theta sin 4theta .

Simplify (sin theta+cos theta+1)/(sin theta+cos theta-1)-(1+sin theta-cos theta)/(1-sin theta+cos theta)

Eliminate theta from the following.cos ec theta-sin theta=a^(3),sec theta-cos theta=b^(3)

Sum ot n terms the series sin^3theta+sin^3 3theta+sin^3 5 theta+…