Prove that ; `4 sin 27^@=(5+sqrt(5))-sqrt((3-sqrt(5)))` we have

(sqrt(5)-2)(sqrt(3)-sqrt(5))

Prove that (1)cos36^(@)cos72^(@)cos108^(@)cos144^(@)=(1)/(16)(2) Show that 4sin27^(@)=sqrt(5+sqrt(5))-sqrt(3-sqrt(5))

(sqrt(5)+sqrt(3))(sqrt(5)-sqrt(3))

Prove that sin 27^circ = 1/4 (sqrt(5 + sqrt5) - sqrt(3 - sqrt5)) .

(sqrt(3)-sqrt(5))(sqrt(5)+sqrt(3))

(sqrt(3)-sqrt(5))(sqrt(5)+sqrt(3))

(2sqrt3+sqrt5)(2sqrt3+sqrt5)

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

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

(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)) Is equal to :