Trigonometric Equations

JEE Main Mathematics · 4 questions

All questions, latest first

• Let S={θ ∈(-2 π, 2 π): cos θ+1=√3 sin θ}. Then Σ_θ ∈ S θ is equal to:20266 April, Shift 1 · Q14
• If S={θ ∈[-π, π]: cos θ cos (5 θ)/2= cos 7 θ cos (7 θ)/2}, then n(S) is equal to ____.20265 April, Shift 2 · Q23
• The sum of all the integral values of p such that the equation 3 sin^2 x+12 cos x-3=p, x ∈ R, has at least one solution, is:20265 April, Shift 1 · Q12
• Let S={x ∈[-π, π]: sin x( sin x+ cos x)=a, a ∈ Z}. Then n(S) is equal to:20262 April, Shift 1 · Q12