if cot theta - 1 / cot theta + 1 = 1 - root3 / 1 + root3, then find the acute angle theta

cot θ-1cot θ+1=1-31+3cot θ-11+3=cot θ+11-3cot θ -1+3 cot θ-3=cot θ -3 cot θ+1-33 cot θ+3 cot θ=1+123 cot θ=2cot θ=13cot θ=cot 60°θ=60°    ANS...

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do you know the answer
my answer is 60°
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please write the correct answer also i want to check my answer first.☺
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