Prove that `sin^2((pi)/(6))+sin^2((pi)/(4))+sin^2((pi)/(3))=3/2`

4.Prove that sin^(2)((pi)/(8))+sin^(2)((3 pi)/(8))=1

Prove that: 2sin^(2)(pi)/(6)+csc^(2)(7 pi)/(6)cos^(2)(pi)/(3)=(3)/(2)

Prove that: sin^(4)((pi)/(8))+sin^(4)((3 pi)/(8))+sin^(4)((5 pi)/(8))+sin^(4)((7 pi)/(8))=(3)/(2)

Prove that: 2sin^(2)(3(pi)/(4))+2cos^(2)((pi)/(4))+2sec^(2)((pi)/(3))=10

Prove that: sin^(2)((pi)/(8)+(A)/(2))-sin^(2)((pi)/(8)-(A)/(2))=(1)/(sqrt(2))sin A

Find the value of the sin^(2)((pi)/(6))+cos^(2)((pi)/(3))-tan^(2)((pi)/(4))

" 1.Prove that : "sin^(2)(pi)/(6)+cos^(2)(pi)/(3)-tan^(2)(pi)/(4)=-(1)/(2)

Prove that: (sin^(2)pi)/(18)+(sin^(2)pi)/(9)+(sin^(2)(7 pi))/(18)+(sin^(2)(4 pi))/(9)=2

Prove that: sin^(3)A+sin^(3)((2 pi)/(3)+A)+sin^(3)((4 pi)/(3)+A)=-(3)/(4)sin3A

In triangle ABC, prove that sin((A)/(2))+sin((B)/(2))+sin((C)/(2))<=(3)/(2) Hence,deduce that cos((pi+A)/(4))cos((pi+B)/(4))cos((pi+C)/(4))<=(1)/(8)