Assertion (A): `((-1+sqrt(-3))/(2))^(29)+((-1-sqrt(-3))/(2))^(29)=-1`
Reason (R ) `omega^(2)=-1`

Assertion (A) : "cosech"^(-1)(2)=log_(e )((1+sqrt(5))/(2)) Reason (R ) : "Cosech"^(-1)(x)=log_(e ) ((1+sqrt(1+x^(2)))/(2))

if omega=(-1+sqrt(3)i)/(2), then arg(omega^(2)) is

x=(1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+2)=

the roots of equation x^(2)-x+1=0 are (1-sqrt(3)i)/(2) and (1+sqrt(3)i)/(2) .these are written as -omega,-omega^(2). how these are -omega and -omega^(2) kindly explain.

((2+sqrt(3))/2)/(1+(sqrt(3)+1)/2) + ((2-sqrt(3))/2)/(1-((sqrt(3)-1)/2))

(sqrt(3)-1)+(1)/(2)(sqrt(3)-1)^(2)+(1)/(3)(sqrt(3)-1)^(3)+….oo

(sqrt(3)-1)+(1)/(2)(sqrt(3)-1)^(2)+(1)/(3)(sqrt(3)-1)^(3)+….oo

omega_(1)=(1)/(2)+i(sqrt(3))/(2) and omega_(2)=-(1)/(2)-i(sqrt(3))/(2) show that omega_(1)^(2)=omega_(2)

Simplify : (1)/(sqrt(3)+sqrt(2))-(1)/(sqrt(3)-sqrt(2))+(2)/(sqrt(2)+1)

Simplify : (1)/(sqrt(3)+sqrt(2))-(1)/(sqrt(3)-sqrt(2))+(2)/(sqrt(2)+1)