JEE Main 2024 Mathematics question
Not in JEE Main syllabus
Let |cos θ cos(60° − θ) cos(60° + θ)| ≤ 1/8, θ ∈ [0, 2π]. Then the sum of all θ ∈ [0, 2π], where cos 3θ attains its maximum value, is
Answer: (C)
Solution
cos θ cos(60° − θ)cos(60° + θ) = (1/4)cos 3θ, so the condition is |cos 3θ| ≤ 1/2. So cos 3θ has maximum value 1/2, attained
See the full step-by-step solution
Create a free account to read the complete working, and practise questions like this in a timed test.
Create a free account