Exact value of the tangent of seventy-five degrees from the double-angle formula
Exact value of the tangent of seventy-five degrees from the double-angle formula
IB Year 6 | Grade 12
5 marks
By applying the formula for \(\tan2\theta\) with \(\theta=75^\circ\), find the exact value of \(\tan75^\circ\), giving your answer in the form \(a+\sqrt{b}\), where \(a\) and \(b\) are integers.[5]
Solution:
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Answer:\(\tan75^\circ=2+\sqrt3\)
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