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square root of((1-cos150)/(1+cos150))

2007-02-20 18:39:50 · 2 answers · asked by ARB 2 in Science & Mathematics Mathematics

+tan75

2007-02-20 19:09:40 · update #1

2 answers

Evaluate √{(1-cos150)/(1+cos150)}

√{(1-cos150)/(1+cos150)}
= √{(1+√3/2)/(1-√3/2)}
= √{(1+√3/2)²/[(1-√3/2)(1+√3/2)]}
= (1+√3/2) / √(1-3/4)
= (1+√3/2) / √(1/4)
= (1+√3/2) / (1/2)
= 2 + √3

2007-02-20 19:29:32 · answer #1 · answered by Northstar 7 · 0 0

+ or - tan (75)

ref: wikipedia trigonometric identities - half angle formulae

2007-02-20 18:51:57 · answer #2 · answered by Hk 4 · 0 0

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