Equations of the form a cos θ + b sin θ = c

JEE Main Mathematics · Trigonometric Equations · 3 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
• Suppose θ ∈[0, (π)/4] is a solution of 4 cos θ-3 sin θ=1. Then cos θ is equal to:20245 April, Shift 1 · Q20
• If α,-(π)/2<α<(π)/2 is the solution of 4 cos θ+5 sin θ=1, then the value of tan α is202429 January, Shift 1 · Q20