KeiajMarljayne
KeiajMarljayne
24-11-2016
Mathematics
contestada
Evaluate and simplify tan 15º.
Respuesta :
syed514
syed514
27-11-2016
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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