`sin^(2) theta + sin^(2)(60^@ + theta ) + sin^(2)(60^(@) - theta ) = `

sin (60^(@) + theta) - sin ( 60^(@) - theta ) = sin theta.

sin theta sin (60^(@) - theta) sin (60^(@)+ theta) in [-k,k] rArr k=

Let f(theta) = sinthetaxx sin(60^@ + theta) sin(60^@ - theta) , then

Assertion (A):cos^(2)theta+cos^(2)(60^(@)-theta)+cos^(2)(60^(@)+theta)=(3)/(2)sin alpha-sin(120^(@)-alpha)+sin(120^(@)+alpha)=0

Assertion (A):cos^(2)theta+cos^(2)(60^(@)-theta)+cos^(2)(60^(@)+theta)=(3)/(2)sin alpha-sin(120^(@)-alpha)+sin(120^(@)+alpha)=0

Prove each of the following identities : (sin theta + cos theta)/(sin theta - cos theta) + (sin theta - cos theta)/(sin theta + cos theta) = (2) /((sin^(2) theta - cos^(2) theta)) = (2) /((2sin^(2) theta -1))

Prove that sin theta sin(60^(@)-theta) sin(60^(@)+theta)=1/4 sin3theta .

Prove that sin theta sin(60^(@)-theta) sin(60^(@)+theta)=1/4 sin3theta .

If 4 sin(60^(@) + theta ) sin (60^(@) - theta )-1=k cos 2 theta , the value of k is