The positive integer value of `n >3` satisfying the equation `1/(sin(pi/n))=1/(sin((2pi)/n))+1/(sin((3pi)/n))i s`

Evaluate sin(pi/n)+sin((3pi)/n)+sin((5pi)/n)+........ to n terms.

For what integral value of n is 3 pi the period of the function cos(n x)sin((5x)/n) ?

The general values of theta satisfying the equation 2sin^2theta-3sintheta-2=0 is (n in Z)dot npi+(-1)^npi/6 (b) npi+(-1)^npi/2 npi+(-1)^n(5pi)/6 (d) npi+(-1)^n(7pi)/6

Which of the following set of values of x satisfies the equation 2^(2sin^2x-3sinx+1)+2^(2-2sin^2x+3sinx)=9? (a) x=npi+-pi/6,n in I (b) x=npi+-pi/3, n in I (c) x=npi,n in I (d) x=2npi+pi/2,n in I

The general value of x satisfying the equation satisfying the equation sqrt(3)sin x+cos x=sqrt(3) is given by x=npi+(-1)^npi/4+pi/3,\ n Z b. x=npi+(-1)^npi/3+pi/6,\ n Z c. x=npi+-pi/6, n Z d. x=npi+-pi/3, n Z

The value of lim_(nrarrinfty) ("sin"(pi)/(2n)."sin"(2pi)/(2n)."sin"(3pi)/(2n)..."sin"((n-1)pi)/(2n))^(1//n) is equal to

What is the value of cos^(-1)(cos(2pi)/3)+sin^(-1)(sin(2pi)/3) ?

If Aa n dB are acute positive angles satisfying the equations 3sin^2A+2sin^2B=1a n d3sin2A-2sin2B=0,t h e nA+2B is equal to pi (b) pi/2 (c) pi/4 (d) pi/6

Evaluate lim_(nrarroo)(2)/(n)(sin.(pi)/(2n)+sin.(2pi)/(2n)+sin.(3pi)/(2n)+....+sin.(npi)/(2n))

If a_(i)in(-pi,2pi)" for "i=2,3,...,n, then the number of solutions of the inequailty 2^(1//sin^(2)a_(2)).3^(1//sin^(2)a_(3)).4^(1//sin^(2)a_(4))...n^(1//sin^(2)a_(n))len!, is