Question:
what is the general solution of √3 cos x-sin x=1
Answer:
√3 cos x-sin x=1
=> (√3/2)cos x - (1/2)sin x = 1/2
=> sin 60 *cos x - cos 60*sin x = 1/2
=> sin (x - 60) = 1/2
=> sin (x - π/3) = sin30
=> sin (x - π/3) = sinπ/6
=> x - π/3 = n*π + (-1)n *(π/6) {where n ∈ Z}
=> x = π/3 + n*π + (-1)n *(π/6)
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