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Trigonometric function problem (senior one mathematics) is urgent! !
f(x)= Acos(wx+φ)+A(A & gt; 0, w>0) has a maximum value of 3,

2A=3,A=3/2

When x=0, 3cosφ = 2 and cosφ = 2/3.

T/2=π/w=2, w=π/2, that is, T=4.

Therefore: f (1)+f (2)+...+f (100)

=25(f( 1)+f(2)+f(3)+f(4))

= 25 * 3/2[cos(π/2+φ)+cos(π+φ)+cos(3π/2+φ)+cos(2π+φ)]

= 75/2 *(sinφ-cosφ+sinφ+cosφ)

=0