Prove that
`4 sin 15^(@) sin 75^(@) = sqrt2 ( cos105^(@) + sin 75^(@))`

Prove that sin 75^(@) - sin 15^(@) = cos 105^(@) + cos 15^(@)

Prove that : sin 105^@ + cos 105^@=1/sqrt2 .

( sin 75^(@) - sin 15^(@))/( cos 15^(@) - cos 75^(@))=

sin^2 75^@-sin^2 15^@ =

sin 10^(@)+sin 20^(@) + sin 40 ^(@) + sin 50 = A) sin 15^(@) +sin 75^(@) B) cos 15^(@) + cos75^(@) C) sin 70^(@) + sin 80^(@) D) cos 70^(@) + cos 80^(@)

sin 75^(@) + sin 15^(@) =

sin15^(@)+cos105^(@)=?

The value of 2 sin 15^(@).cos75^(@)

Prove that : (i) "sin"105^(@)+cos105^(@)=(1)/(sqrt(2)) (ii) cos105^(@)+cos15^(@)="sin"75^(@)-"sin"15^(@)

sin75^(@)-sin15^(@)=cos105^(@)+cos15^(@)