Question

prove √3sin∅ + cos∅ = 2​

Answer 1

√3sinθ + cosθ = 1

Divide by 2 to get (√3/2)sinθ + (1/2)cosθ = 1/2

cos(π/6)sinθ + sin(π/6)cosθ = 1/2

sin(π/6+θ) = 1/2

So, π/6 + θ = π/6 or 5π/6

θ = 0 or 2π/3