Prove that: sin θ - cos θ = 1 - 2 cos θ
LHS : sin θ - cos θ
= (sin θ) - (cos θ)
= (sin θ+cos θ) (sin θ - cos θ)...[using _____ ]
= 1 [_____ - cos θ] ...[sin θ + cos θ = 1]
= 1-_____
∴ LHS _____ RHS
∴ sin θ - cos θ = 1 - 2 cos θ
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