if root 3 tan theta=1, then find the value of sin2theta-cos2theta

We have ,3 tan θ = 1 tan θ = 13 tan θ = tan 30θ = 300 now, sin2 θ - cos2 θ = sin2 30 - cos2 30                                       = 122 - 322 = 14 - 34 =- 24 =  - 12

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