Let θ∈[0,4π] satisies the equation (cosθ+1)(cosθ+2)(cosθ+3)=24, then the sum of all the values of θ is of the form kπ then K =
The maximum value of cosθ is 1
We have LHS≤24,RHS=24
∴LHS=RHS=24
⇒cosθ=1⇒θ=0,2π,4π