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Hinton
21 May, 07:28
Evaluate and simplify tan 15º.
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Lawrence David
21 May, 10:09
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Tan (15) = tan (45 - 30)
= [tan (45) - tan (30) ] / [ 1 + tan (30) tan (45) ]
= (1 - 1/sqrt (3)) / (1 + 1/sqrt (3))
= (sqrt (3) - 1) / (sqrt (3) + 1)
= (sqrt (3) - 1) ^2 / (3 - 1)
= 1/2 [3 + 1 - 2sqrt (3) ]
= (2 - sqrt (3))
= 0.27 is your answer
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