`tan((11pi)/3)-2sin((9pi)/3)-3/4cosec^2(pi/4)+4cos^2((17pi)/6)=(3-2sqrt(3))/2`

Prove that: (a) cos510^(@) sin510^(@) + sin(-330^(@)) cos(-390^(@))=0 b) tan(11pi)/(3) -2sin(9pi)/3-3/4"cosec"^(2)pi/4 + 4cos^(2)(17pi)/6=(3-2sqrt(3))/2

Prove that: (a) cos510^(@) sin510^(@) + sin(-330^(@)) cos(-390^(@))=0 b) tan(11pi)/(3) -2sin(9pi)/3-3/4"cosec"^(2)pi/4 + 4cos^(2)(17pi)/6=(3-2sqrt(3))/2

Prove tan((11pi)/(3))-2sin((4pi)/(6))-((3)/(4))cosec^(2)((pi)/(4))+4cos^(2)((17pi)/(6)) = (3-4sqrt(3))/(2)

Prove that (sin(-(11pi)/(3))tan((35pi)/(6))sec(-(7pi)/(3)))/(cos((5pi)/(4))cosc((7pi)/(4))cos((17pi)/(6)))= (2)/(sqrt(3))

2sin^(2)""(pi)/(6)+cosec^(2)""(7pi)/(6) cos^(2)""(pi)/(3)=(3)/(2)

tan ((11 pi) / (3)) - 2sin ((9 pi) / (3)) - (3) / (4) cos ec ^ (2) ((pi) / (4)) + 4cos ^ ( 2) ((17 pi) / (6)) = (3-2sqrt (3)) / (2)

Show that: [cos((3pi)/4)-cos((2pi)/3)]/[cos((3pi)/4)+cos((2pi)/3)]=3-2sqrt2 .

2(sin^(2)(pi/6)) +"cosec"(7pi)/(6)cos^(2)pi/3=3/2

(tan) (11 pi) / (3) (- 2sin) (4 pi) / (6) - (3) / (4) (cos ec ^ (2)) (pi) / (4) + (4cos ^ (2)) (17 pi) / (6) = (3-4sqrt (3)) / (2)

Prove that (i) " tan"^(2) .(pi)/(3) + 2cos^(2) .(pi)/(4)+ 3 sec^(2).(pi)/(6)+ 4 cos^(2).(pi)/(2)=8 (ii) " sin ".(pi)/(6) " cos 0 + sin ".(pi)/(4) " cos " .(pi)(4) + " sin " .(pi)/(3) "cos " .(pi)/(6) =(7)/(4) (iii) " 4sin " (pi)/(6) " sin"^(2) (pi)/(3) + 3 " cos " .(pi)/(3) " tan ".(pi)/(4) = " cosec"^(2).(pi)/(2)=4