Prove that
`sin 55^(@) - cos55^(@) = sqrt2 sin 10^(@)`

Prove that sin 36 ^(@) + cos 36 ^(@) = sqrt2 cos 9^(@).

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

Prove that sin18^(@)+cos18^(@)= sqrt2 cos 27^(@)

Prove that sin85^(@) - cos65^(@) +cos55^(@)=0

Prove that sin 80^(@) cos20^(@) + sin45^(@) cos145^(@)+sin 55^(@) cos245^(@) = 0

Prove that sin 16^(@) + cos 16^(@) = 1/sqrt2(sqrt3 cos1^(@)+sin1^(@))

The value of (sin 55^(@) - cos 55^(@))/(sin10^(@) is

Prove that sin A + cos A= sqrt2 cos (45^@-A)

The value of (sin 55^(@) - cos 55^(@))/(sin 10^(@)) is .................. A) (1)/(sqrt2) B) 2 C) 1 D) sqrt2