aligass2004yi

aligass2004yi

Answered

2022-06-25

If tan ( 22 1 2 ) = 2 1, then prove that tan ( 11 1 4 ) = 4 + 2 2 2 1

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Eli Shaffer

Eli Shaffer

Expert

2022-06-26Added 16 answers

tan ( 2 x ) = sin ( 2 x ) cos ( 2 x ) = 2 sin x cos x cos 2 x sin 2 x = 2 tan x 1 tan 2 x

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Kyla Ayers

Kyla Ayers

Expert

2022-06-27Added 8 answers

Hint:
tan 2 α = 2 tan α 1 tan 2 α
Let α = 11 1 4 and tan α = x, then
2 1 = 2 x 1 x 2
x = . . .

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