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

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

The value of (sin pi)/(n)+(sin(3 pi))/(n)+(sin(5 pi))/(n)+... to n terms is equal to

Assertion A: sin((pi)/(n))+(sin(3 pi))/(n)+(sin(5 pi))/(n)+.... to n terms +0 Reason (alpha+beta)+...... to n terms =sin alpha+sin(alpha+beta)+...... to terms=(sin(n(beta)/(2)))/(sin((beta)/(2)))*sin((2 alpha+(n-1)beta)/(2))

The value of sin (pi/14). sin((3pi)/14). sin( (5pi)/14)………. Sin ((13pi)/14) is

If the sum of (n-1) terms of the series sin((pi)/(n))+sin((2 pi)/(n))+sin((3 pi)/(n))+.... is equal to 2+sqrt(3), then find the value of n.

Evaluate: (lim_(n rarr oo)n cos((pi)/(4n))sin((pi)/(4n))