Find the value of `sum_(k=1)^10[sin((2pik)/(11))-icos((2pik)/(11))],wherei=sqrt(-1).`

If p=sum_(p=1)^(32)(3p+2)(sum_(q=1)^(10)(sin""(2qpi)/(11)-icos""(2qpi)/(11)))^(p) , where i=sqrt(-1) and if (1+i)P=n(n!),n in N, then the value of n is

Evaluate sum_(k-1)^11(2+3^k)

Find the principle value of sin^(-1)(1/(sqrt(2)))

Find the value of sin^(2)37(1^(@))/(2)-sin^(2)7(1)/(2)

The value of underset(i=1)overset(6)Sigma(sin .(2pik)/(7)-i cos .(2pik)/(7))

Find the principal value of sin^(-1)(1/sqrt2)

Find the value of sin(2"tan"^(-1)1/3)+cos("tan"^(-1)2sqrt2) .

Q. The value of is equal sum_(k=1)^13(1/(sin(pi/4+(k-1)pi/6)sin(pi/4+(kpi)/6))) is equal

Find the square root of 11+2sqrt(30)

The value of lim_(n->oo)sum_(k=1)^n(6^k)/((3^k-2^k)(3^(k+1)-2^(k+1)) is equal to