1.

Let f(x) =a_(1)cos(alpha_(1)+x)+a_2cos(alpha_2+x)+............+ a_ncos(a_n+x) . If f(x) vanishes for x = 0 andx=x_1 (where x_1 ne kpi, k in Z) then

Answer»

`a_(1)cosalpha_(1)+a_(2)cos alpha_(2)+..........+a_(n)cos alpha_(n)=0`
`alpha_(1) sinalpha_(1)+a_(2)sinalpha_(2)+.........+a_(n)sinalpha_(n)=0`
`f(X) = 0 ` has only two SOLUTION `0,x_1`
f(x) is IDENTICALLY zero `AA x`

Answer :A::B::D


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