" ( "(6)/(6)/ pi

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

cot ^(2) "" (pi)/(6) + cosec ""(5pi)/(6) + 3 tan ^(2) ""(pi)/(6) =6

cot ^(2) "" (pi)/(6) + cosec ""(5pi)/(6) + 3 tan ^(2) ""(pi)/(6) =6

cot ^(2) "" (pi)/(6) + cosec ""(5pi)/(6) + 3 tan ^(2) ""(pi)/(6) =6

cot ^(2) "" (pi)/(6) + cosec ""(5pi)/(6) + 3 tan ^(2) ""(pi)/(6) =6

One of the value of ("cos"(pi)/(6) +i "sin"(pi)/(6))^((1)/(2)) + ("cos"(pi)/(6)- i "sin"(pi)/(6))^((11)/(2)) is

The number of solutions of the equation cos^(2) (x + (pi)/( 6)) + cos ^(2) x - 2 cos ( + (pi)/( 6)) co ""(pi)/( 6) = sin ^(2) (pi)/( 6) in interval ((-pi)/( 2), (pi)/( 2)) is _____