1.

If f(x)=∣∣∣∣∣cos(x+α)cos(x+β)cos(x+γ)sin(x+α)sin(x+β)sin(x+γ)sin(β−γ)sin(γ−α)sin(α−β)∣∣∣∣∣ where α,β,γ∈R and f(0)=−2, then 30∑r=1|f(r)| equals

Answer»

If f(x)=∣∣
∣
∣∣cos(x+α)cos(x+β)cos(x+γ)sin(x+α)sin(x+β)sin(x+γ)sin(β−γ)sin(γ−α)sin(α−β)∣∣
∣
∣∣ where α,β,γ∈R and f(0)=−2, then 30∑r=1|f(r)| equals


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