The maximum value of `(cos alpha_1). (cos alpha_2)...........(cos alpha_n)`, under the restrictions `0 <=alpha_1,alpha_2..........,alpha_n<=pi/2 and (cot alpha_1) (cot alpha_2) ......... (cot a_n)=1` is

The maximum value of (cosalpha_(1))(cos alpha_(2))...(cosalpha_(n)), under the restrictions 0lealpha_(1),alpha_(2)...,alpha_(n)le(pi)/(2) and (cotalpha_(1))(cotalpha_(2))......(cotalpha_(n))=1 is

find the value of (cos^3alpha+sin^3alpha)/(1-sin(alpha).cos(alpha))

Evaluate cos alpha cos 2 alpha cos 3 alpha..........cos 999alpha , where alpha=(2pi)/(1999)

Which is equivalent to (sin^2 alpha + cos^2 alpha )/(cos alpha ) ?

The value of (sin(pi-alpha))/(sin alpha-cos alpha tan.(alpha)/(2))-cos alpha is

The value of (sin5alpha-sin3alpha)/(cos5alpha+2cos4alpha+cos3alpha) is

If tan theta=(sin alpha- cos alpha)/(sin alpha+cos alpha) , then:

The value of lim_(xto4)((cos alpha)^(x)-(sinalpha)^(x)-cos 2alpha)/(x-4), alpha epsilon(0,(pi)/2) is

Given a_(1)cos alpha_(1)+alpha_(2)cos alpha_(2)+…+a_(n)cos alpha_(n)=0 and a_(1)cos(alpha_(1)+theta)+a_(2)cos(alpha_(2)+theta)+…+a_(n)cos(alpha_(n)+theta)=0 (theta ne k pi) , then the value of a_(1)cos(alpha_(1)+lambda)+a_(2)cos(alpha_(2)+lambda)+…+a_(n)cos(alpha_(n)+lambda) is

cos alpha cos 2 alpha cos 4 alpha cos 8 alpha = (1)/(16), if alpha = 24 ^(@)