Prove that: `2sinpi/6s e cpi/3-4sin(5pi)/6cospi/4=1`

Prove that: 2(sin pi)/(6)sec(pi)/(3)-4(sin(5 pi))/(6)(cos pi)/(4)=1

Prove that: sinpi/7+sin(2pi)/(7) + sin(8pi)/7 + sin(9pi)/7=0

Prove that sin pi/14* sin 3pi/14* sin 5pi/14 ........... to 7 factors and 1/2^(6) ..

Prove that: (sin(8 pi))/(3)(cos(23 pi))/(6)+(cos(13 pi))/(3)(sin(35 pi))/(6)=(1)/(2)

Prove that: (sin pi)/(5)(sin(2 pi))/(5)(sin(3 pi))/(5)(sin(4 pi))/(5)=(5)/(16)

Prove that: i) sin(5pi)/(18) - cos(4pi)/(9) = sqrt(3)sinpi/9 ii) cos(3pi)/4+A-cos((3pi)/(4)-A)=-sqrt(2)sinA

Prove that: (cos pi)/(5)(cos(2 pi))/(5)(cos(4 pi))/(5)(cos(8 pi))/(5)=(-1)/(6)

2sin^2(pi/6 )+c o s e c^2((7pi)/6)cos^2(pi/3)=3/2

Prove that: cospi/10-sinpi/10=sqrt(2)sin(3pi)/(20)

Prove that quad quad 3sin(pi)/(6) sec (5 pi)/(6)(5 pi)/(6)(pi)/(4)=1