If Tan θ = 2, then the value of 1 / (Sin & # 178; θ - cos & # 178; θ) is | Math enthusiast | Mathematical art

If Tan θ = 2, then the value of 1 / (Sin & # 178; θ - cos & # 178; θ) is

Because Tan θ = 2, sin θ = 2cos θ,
So: 1 / (Sin & # 178; θ - cos & # 178; θ) = [(sin θ) ^ 2 + (COS θ) ^ 2] / [(sin θ) ^ 2 - (COS θ) ^ 2]
=5（cosθ)^2/3(cosθ)^2=5/3

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