General solution

JEE Main Mathematics · Trigonometric Equations · 3 questions, latest first

• Let | cos θ cos (60-θ) cos (60+θ)| ≤ 1/8, θ ∈[0,2 π]. Then, the sum of all θ ∈[0,2 π], where cos 3 θ attains its maximum value,…20249 April, Shift 1 · Q20
• Let f(θ)=3( sin^4((3 π)/2-θ)+ sin^4(3 π+θ))-2(1- sin^2 2 θ) and S={θ ∈[0, π]: f^′(θ)=-(√3)/2}. If 4 β=Σ_θ ∈ S θ, then f(β) is…202329 January, Shift 1 · Q77
• Let S={θ ∈[0,2 π): tan (π cos θ)+ tan (π sin θ)=0}. Then Σ_θ ∈ S sin^2(θ+(π)/4) is equal to ____.202324 January, Shift 2 · Q88