Express-tan-3-in-surd-form-

Question Number 209768 by OmoloyeMichael last updated on 20/Jul/24

E x p r e s s t a n (3) i n s u r d f o r m

Answered by Frix last updated on 22/Jul/24

\tan (α - β) = \frac{\tan α - \tan β}{1 + \tan α \tan β}

Use α = 18 ° and β = 15 ° . The only problem is

to factorize it \dots

I get

\tan 3 ° = \frac{(- 7 + 2 \sqrt{15} - 3 \sqrt{5} + 4 \sqrt{3}) \sqrt{5 - 2 \sqrt{5}} + (4 - \sqrt{15} + 2 \sqrt{5} - 3 \sqrt{3})}{2}

Commented by OmoloyeMichael last updated on 22/Jul/24

t h a n k s s i r

Commented by Frix last updated on 22/Jul/24

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