Автор - maija

tg(2 arccos 12/13)=
помогите,пожалуйста !!!!срочно!!!!

Ответ

Автор - Minsk00
Tg(2 arccos 12/13)=

tg(2arccos( frac{12}{13}))= frac{sin(2arccos( frac{12}{13})) }{cos(2arccos( frac{12}{13})) }=

=frac{2sin(2arccos( frac{12}{13}))*cos(arccos( frac{12}{13}) }{2cos^2(arccos( frac{12}{13})-1}=

=frac{2 sqrt{1-cos^2(arccos( frac{12}{13}))}*frac{12}{13}}{2*frac{12^2}{13^2}-1}=frac{frac{24}{13}sqrt{1-frac{12^2}{13^2}}}{frac{288}{169}-1}=frac{frac{24}{13}sqrt{frac{169-144}{169}}}{frac{288-169}{169}}=frac{frac{24}{13}sqrt{frac{25}{169}}}{frac{119}{169}}=

=frac{frac{24}{13}*frac{5}{13}}{frac{119}{169}}= frac{120}{119}

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