Prove that : `sin 75^0 = (sqrt(6) + sqrt(2))/4`

Prove that (i) " sin " 75^(@) =((sqrt(6)+sqrt(2)))/(4) (ii) (cos 135^(@) -cos 120^(@))/(cos 135^(@) +cos 120^(@)) =(3 -2sqrt(2)) (iii) " tan " 15^(@) +" cot " 15^(@) =4

Prove that: sin18^0=(sqrt(5)-1)/4 .

prove that sin75=(sqrt(6)+sqrt(2))/(4)

prove that sin75=(sqrt(6)+sqrt(2))/(4)

Prove that: sin36^(0)=(sqrt(10-2sqrt(5)))/(4)

Prove that: sin36^0=(sqrt(10-2sqrt(5)))/4 .

Prove that: sin18^(0)=(sqrt(5)-1)/(4)

Prove that sin 9^circ = 1/4 (sqrt(3 + sqrt5) - sqrt(5 - sqrt5)) .

Prove that 4 sin 27^@ = sqrt(5+sqrt5)+sqrt(3-sqrt5) .

Prove that sqrt(108) - sqrt(75) = sqrt3