tan 60°-tan 30° / 1+ tan 60° tan 30° = tan 30°
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Step-by-step explanation:
tan 60°-tan 30° / 1 + tan 60° tan 30°
= [√3 - 1/√3] / [1 + (√3)(1/√3)]
= [ 3 - 1 / √3 ] / [ 1 + 1 ]
= 2 / 2√3
= 1 / √3
= tan 30°
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